2.1 Content Check: Are two categorical variables associated?

Last updated almost 2 years ago

23 questions

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2.1 Content Check: Are two categorical variables associated?

Last updated almost 2 years ago

23 questions

4

Required

4

The graph displays the vacation preferences of people in relation to their states of residency.
Which type of favorite vacation had approximately the same proportion in each of the four states?
Spell it out as typed above.

Required

4

The graph displays the vacation preferences of people in relation to their states of residency.
Which state has the smallest proportion of residents who prefer nature vacations?
Use the abbreviation

Required

4

Required

3

200 adults shopping at a supermarket were asked about the highest level of education they had completed and whether or not they smoke cigarettes.
Fill in the missing numbers in the table below in the 'show your work' area. I will grade this problem by hand.

Required

3

What is the marginal distribution of education?
Give the three percents separated by commas and use the % sign.
Round percent to one place past the decimal point.

Required

1

What percent of the shoppers were smokers with only a high school education?
Use a % sign and round (if needed) to one place past the decimal point.

Required

1

What percent of the shoppers with only a high school education were smokers?
Use a % sign and round (if needed) to one place past the decimal point.

Required

1

What percent of the smokers had only a high school education?
Use a % sign and round (if needed) to one place past the decimal point.

Required

3

What is the conditional distribution of education level for smokers?
First, use the 'show your work' area to circle the column or row you will use for your calculation.
Second, calculate the percents, list them separated by a comma. Copy and paste the template from below.
Ex. HS: %, 2 yr college: %, 4 yr college: %
OR
Smoker: %, Nonsmoker: %
Use a % sign and round (if needed) to one place past the decimal point.

Required

3

What is the conditional distribution of education level for nonsmokers?
First, use the 'show your work' area to circle the column or row you will use for your calculation.
Second, calculate the percents, list them separated by a comma. Copy and paste the template from below.
Ex. HS: %, 2 yr college: %, 4 yr college: %
OR
Smoker: %, Nonsmoker: %
Use a % sign and round (if needed) to one place past the decimal point.

Required

4

Required

4

Required

3

A survey of autos parked in a student and staff lot at a large university classified the brands by country of origin, as seen in the table below:
Fill in the table in the 'show your work' area. I will grade this problem by hand.

Required

1

What percent of all the cars surveyed were American?
Make sure to use a % sign and round the percent to one place past the decimal point.

Required

1

What percent of the American cars were owned by students?
Make sure to use a % sign and round the percent to one place past the decimal point.

Required

1

What percent of the students owned American cars?
Make sure to use a % sign and round the percent to one place past the decimal point.

Required

3

Give the conditional distribution of car for students.
First, use the 'show your work' area to circle the column or row you will use for your calculation.
Second, calculate the percents, list them separated by a comma.
Copy and paste the template from below, then insert the % numbers.

Ex. American: %, European: %, Asian: %
OR
Student: %, Staff: %

Use a % sign and round (if needed) to one place past the decimal point.

Required

3

Give the conditional distribution of car for staff.
First, use the 'show your work' area to circle the column or row you will use for your calculation.
Second, calculate the percents, list them separated by a comma.
Copy and paste the template from below, then insert the % numbers.

Ex. American: %, European: %, Asian: %
OR
Student: %, Staff: %

Use a % sign and round (if needed) to one place past the decimal point.

Required

4

Required

4

The segmented bar graph below displays the distribution of pet ownership among homeowners and renters.

Is pet ownership associated with housing arrangement?

Yes, because the distribution of pet ownership differs among homeowners and renters, homeowners are more likely to have a dog than renters.

Yes, because the distribution of pet ownership is about the same among homeowners and renters.

No, because the distribution of pet ownership differs among homeowners and renters, renters are more likely to have no pets.

No, because the distribution of pet ownership is about the same among homeowners and renters.

The data in the graph displays the season preference of people in relation to age.
Which statement best summarizes the data?

Season preference and age group appear to be associated because the percentage of people who prefer winter and fall are different for the two age groups.

Season preference and age group appear to be associated because the percentage of people who prefer winter and fall are similar for the two age groups.

The graphs displays the movie preference of people by gender.
Which statement best summarizes the information displayed in the double bar chart?

Movie preference is not associated with gender for all five movies, the preferences by gender are the same for each movie.

Movie A is the most preferred movie among those surveyed.

Movie preference appears to be associated to gender, females are more likely to prefer moveis B and C than males.

The number of males outnumbers the number of females for each movie choice.

The graph displays the vacation preferences of people in relation to their states of residency.
Which type of favorite vacation had approximately the same proportion in each of the four states?
Spell it out as typed above.

The graph displays the vacation preferences of people in relation to their states of residency.
Which state has the smallest proportion of residents who prefer nature vacations?
Use the abbreviation

The graph displays the vacation preferences of people in relation to their states of residency.
Are favorite vacation and state of residency associated?

Not associated because the proportions of vacation preferences are similar between all four states.

Not associated because the proportions of vacation preferences are different between all four states.

Associated because the proportions of vacation preferences are similar between all four states.

Associated because the proportions of vacation preferences are different between all four states.

200 adults shopping at a supermarket were asked about the highest level of education they had completed and whether or not they smoke cigarettes.
Fill in the missing numbers in the table below in the 'show your work' area. I will grade this problem by hand.

What is the marginal distribution of education?
Give the three percents separated by commas and use the % sign.
Round percent to one place past the decimal point.

What percent of the shoppers were smokers with only a high school education?
Use a % sign and round (if needed) to one place past the decimal point.

What percent of the shoppers with only a high school education were smokers?
Use a % sign and round (if needed) to one place past the decimal point.

What percent of the smokers had only a high school education?
Use a % sign and round (if needed) to one place past the decimal point.

What is the conditional distribution of education level for smokers?
First, use the 'show your work' area to circle the column or row you will use for your calculation.
Second, calculate the percents, list them separated by a comma. Copy and paste the template from below.
Ex. HS: %, 2 yr college: %, 4 yr college: %
OR
Smoker: %, Nonsmoker: %
Use a % sign and round (if needed) to one place past the decimal point.

What is the conditional distribution of education level for nonsmokers?
First, use the 'show your work' area to circle the column or row you will use for your calculation.
Second, calculate the percents, list them separated by a comma. Copy and paste the template from below.
Ex. HS: %, 2 yr college: %, 4 yr college: %
OR
Smoker: %, Nonsmoker: %
Use a % sign and round (if needed) to one place past the decimal point.

Do these data suggest there is an association between smoking and education level? Explain your reasoning (use complete sentences for full credit).

Yes, smoking and education level are associated

because the percents are different.

because the percents are similar.

No, smoking and education level are not associated

If they are associated describe the possible association between smoking and education level.

Nonsmokers are more likely to have a 2 year degree.

Smoking and education level are not associated.

Both smokers and nonsmokers have the same likelihood of having a 2 year college degree.

Smokers are more likely to have a high school diploma only.

Nonsmokers are more likely to have a high school diploma only.

Smokers are more likely to have a 2 year degree.

Smokers are more likely to have a 4 year college degree.

Nonsmokers are more likely to have a 4 year college degree.

A survey of autos parked in a student and staff lot at a large university classified the brands by country of origin, as seen in the table below:
Fill in the table in the 'show your work' area. I will grade this problem by hand.

What percent of all the cars surveyed were American?
Make sure to use a % sign and round the percent to one place past the decimal point.

What percent of the American cars were owned by students?
Make sure to use a % sign and round the percent to one place past the decimal point.

What percent of the students owned American cars?
Make sure to use a % sign and round the percent to one place past the decimal point.

Give the conditional distribution of car for students.
First, use the 'show your work' area to circle the column or row you will use for your calculation.
Second, calculate the percents, list them separated by a comma.
Copy and paste the template from below, then insert the % numbers.

Ex. American: %, European: %, Asian: %
OR
Student: %, Staff: %

Use a % sign and round (if needed) to one place past the decimal point.

Give the conditional distribution of car for staff.
First, use the 'show your work' area to circle the column or row you will use for your calculation.
Second, calculate the percents, list them separated by a comma.
Copy and paste the template from below, then insert the % numbers.

Ex. American: %, European: %, Asian: %
OR
Student: %, Staff: %

Use a % sign and round (if needed) to one place past the decimal point.

Do these data suggest there is an association between being a staff or student and origin of car? Explain your reasoning (use complete sentences for full credit).

Yes, staff/student and origin of car are associated

No, staff/student and origin of car are not associated

because the percents are similar.

because the percents are different.

If they are associated describe the possible association between staff/student status and car origin.

Staff are more likely to have an American car.

Staff are more likely to have an Asian car.

Students are more likely to have a car from Europe.

Staff are more likely to have a car from Europe.

Students are more likely to have an American car.

Staff/student and origin of car are not associated.

Students are more likely to have a car from Asia.

The segmented bar graph below displays the distribution of pet ownership among homeowners and renters.

Is pet ownership associated with housing arrangement?

Yes, because the distribution of pet ownership differs among homeowners and renters, homeowners are more likely to have a dog than renters.

Yes, because the distribution of pet ownership is about the same among homeowners and renters.

No, because the distribution of pet ownership differs among homeowners and renters, renters are more likely to have no pets.

No, because the distribution of pet ownership is about the same among homeowners and renters.

The data in the graph displays the season preference of people in relation to age.
Which statement best summarizes the data?

Season preference and age group appear to be associated because the percentage of people who prefer winter and fall are different for the two age groups.

Season preference and age group appear to be associated because the percentage of people who prefer winter and fall are similar for the two age groups.

The graphs displays the movie preference of people by gender.
Which statement best summarizes the information displayed in the double bar chart?

Movie preference is not associated with gender for all five movies, the preferences by gender are the same for each movie.

Movie A is the most preferred movie among those surveyed.

Movie preference appears to be associated to gender, females are more likely to prefer moveis B and C than males.

The number of males outnumbers the number of females for each movie choice.

The graph displays the vacation preferences of people in relation to their states of residency.
Are favorite vacation and state of residency associated?

Not associated because the proportions of vacation preferences are similar between all four states.

Not associated because the proportions of vacation preferences are different between all four states.

Associated because the proportions of vacation preferences are similar between all four states.

Associated because the proportions of vacation preferences are different between all four states.

Do these data suggest there is an association between smoking and education level? Explain your reasoning (use complete sentences for full credit). 

Yes, smoking and education level are associated

because the percents are different.

because the percents are similar.

No, smoking and education level are not associated

If they are associated describe the possible association between smoking and education level.

Nonsmokers are more likely to have a 2 year degree.

Smoking and education level are not associated.

Both smokers and nonsmokers have the same likelihood of having a 2 year college degree.

Smokers are more likely to have a high school diploma only.

Nonsmokers are more likely to have a high school diploma only.

Smokers are more likely to have a 2 year degree.

Smokers are more likely to have a 4 year college degree.

Nonsmokers are more likely to have a 4 year college degree.

Do these data suggest there is an association between being a staff or student and origin of car? Explain your reasoning (use complete sentences for full credit). 

Yes, staff/student and origin of car are associated

No, staff/student and origin of car are not associated

because the percents are similar.

because the percents are different.

If they are associated describe the possible association between staff/student status and car origin.

Staff are more likely to have an American car.

Staff are more likely to have an Asian car.

Students are more likely to have a car from Europe.

Staff are more likely to have a car from Europe.

Students are more likely to have an American car.

Staff/student and origin of car are not associated.

Students are more likely to have a car from Asia.

2.1 Content Check: Are two categorical variables associated?

2.1 Content Check: Are two categorical variables associated?

The graph displays the vacation preferences of people in relation to their states of residency.Which type of favorite vacation had approximately the same proportion in each of the four states?Spell it out as typed above.

The graph displays the vacation preferences of people in relation to their states of residency.Which state has the smallest proportion of residents who prefer nature vacations?Use the abbreviation

200 adults shopping at a supermarket were asked about the highest level of education they had completed and whether or not they smoke cigarettes.Fill in the missing numbers in the table below in the 'show your work' area. I will grade this problem by hand.

What is the marginal distribution of education?Give the three percents separated by commas and use the % sign.Round percent to one place past the decimal point.

What percent of the shoppers were smokers with only a high school education?Use a % sign and round (if needed) to one place past the decimal point.

What percent of the shoppers with only a high school education were smokers?Use a % sign and round (if needed) to one place past the decimal point.

What percent of the smokers had only a high school education?Use a % sign and round (if needed) to one place past the decimal point.

A survey of autos parked in a student and staff lot at a large university classified the brands by country of origin, as seen in the table below:Fill in the table in the 'show your work' area. I will grade this problem by hand.

What percent of all the cars surveyed were American?Make sure to use a % sign and round the percent to one place past the decimal point.

What percent of the American cars were owned by students?Make sure to use a % sign and round the percent to one place past the decimal point.

What percent of the students owned American cars?Make sure to use a % sign and round the percent to one place past the decimal point.

The segmented bar graph below displays the distribution of pet ownership among homeowners and renters.Is pet ownership associated with housing arrangement?

The data in the graph displays the season preference of people in relation to age.Which statement best summarizes the data?

The graphs displays the movie preference of people by gender.Which statement best summarizes the information displayed in the double bar chart?

The graph displays the vacation preferences of people in relation to their states of residency.Which type of favorite vacation had approximately the same proportion in each of the four states?Spell it out as typed above.

The graph displays the vacation preferences of people in relation to their states of residency.Which state has the smallest proportion of residents who prefer nature vacations?Use the abbreviation

The graph displays the vacation preferences of people in relation to their states of residency.Are favorite vacation and state of residency associated?

200 adults shopping at a supermarket were asked about the highest level of education they had completed and whether or not they smoke cigarettes.Fill in the missing numbers in the table below in the 'show your work' area. I will grade this problem by hand.

What is the marginal distribution of education?Give the three percents separated by commas and use the % sign.Round percent to one place past the decimal point.

What percent of the shoppers were smokers with only a high school education?Use a % sign and round (if needed) to one place past the decimal point.

What percent of the shoppers with only a high school education were smokers?Use a % sign and round (if needed) to one place past the decimal point.

What percent of the smokers had only a high school education?Use a % sign and round (if needed) to one place past the decimal point.

Do these data suggest there is an association between smoking and education level? Explain your reasoning (use complete sentences for full credit).

If they are associated describe the possible association between smoking and education level.

A survey of autos parked in a student and staff lot at a large university classified the brands by country of origin, as seen in the table below:Fill in the table in the 'show your work' area. I will grade this problem by hand.

What percent of all the cars surveyed were American?Make sure to use a % sign and round the percent to one place past the decimal point.

What percent of the American cars were owned by students?Make sure to use a % sign and round the percent to one place past the decimal point.

What percent of the students owned American cars?Make sure to use a % sign and round the percent to one place past the decimal point.

Do these data suggest there is an association between being a staff or student and origin of car? Explain your reasoning (use complete sentences for full credit).

If they are associated describe the possible association between staff/student status and car origin.

The graph displays the vacation preferences of people in relation to their states of residency.
Which type of favorite vacation had approximately the same proportion in each of the four states?
Spell it out as typed above.

The graph displays the vacation preferences of people in relation to their states of residency.
Which state has the smallest proportion of residents who prefer nature vacations?
Use the abbreviation

200 adults shopping at a supermarket were asked about the highest level of education they had completed and whether or not they smoke cigarettes.
Fill in the missing numbers in the table below in the 'show your work' area. I will grade this problem by hand.

What is the marginal distribution of education?
Give the three percents separated by commas and use the % sign.
Round percent to one place past the decimal point.

What percent of the shoppers were smokers with only a high school education?
Use a % sign and round (if needed) to one place past the decimal point.

What percent of the shoppers with only a high school education were smokers?
Use a % sign and round (if needed) to one place past the decimal point.

What percent of the smokers had only a high school education?
Use a % sign and round (if needed) to one place past the decimal point.

A survey of autos parked in a student and staff lot at a large university classified the brands by country of origin, as seen in the table below:
Fill in the table in the 'show your work' area. I will grade this problem by hand.

What percent of all the cars surveyed were American?
Make sure to use a % sign and round the percent to one place past the decimal point.

What percent of the American cars were owned by students?
Make sure to use a % sign and round the percent to one place past the decimal point.

What percent of the students owned American cars?
Make sure to use a % sign and round the percent to one place past the decimal point.

The segmented bar graph below displays the distribution of pet ownership among homeowners and renters.

Is pet ownership associated with housing arrangement?

The data in the graph displays the season preference of people in relation to age.
Which statement best summarizes the data?

The graphs displays the movie preference of people by gender.
Which statement best summarizes the information displayed in the double bar chart?

The graph displays the vacation preferences of people in relation to their states of residency.
Which type of favorite vacation had approximately the same proportion in each of the four states?
Spell it out as typed above.

The graph displays the vacation preferences of people in relation to their states of residency.
Which state has the smallest proportion of residents who prefer nature vacations?
Use the abbreviation

The graph displays the vacation preferences of people in relation to their states of residency.
Are favorite vacation and state of residency associated?

200 adults shopping at a supermarket were asked about the highest level of education they had completed and whether or not they smoke cigarettes.
Fill in the missing numbers in the table below in the 'show your work' area. I will grade this problem by hand.

What is the marginal distribution of education?
Give the three percents separated by commas and use the % sign.
Round percent to one place past the decimal point.

What percent of the shoppers were smokers with only a high school education?
Use a % sign and round (if needed) to one place past the decimal point.

What percent of the shoppers with only a high school education were smokers?
Use a % sign and round (if needed) to one place past the decimal point.

What percent of the smokers had only a high school education?
Use a % sign and round (if needed) to one place past the decimal point.

A survey of autos parked in a student and staff lot at a large university classified the brands by country of origin, as seen in the table below:
Fill in the table in the 'show your work' area. I will grade this problem by hand.

What percent of all the cars surveyed were American?
Make sure to use a % sign and round the percent to one place past the decimal point.

What percent of the American cars were owned by students?
Make sure to use a % sign and round the percent to one place past the decimal point.

What percent of the students owned American cars?
Make sure to use a % sign and round the percent to one place past the decimal point.