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Copy of Quiz Lessons 8.1-8.4 (5/5/2024)

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15 questions
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Question 1
1.

In a major urban area, the percentage of male drivers between the ages of 19 and 29 who did not regularly use seatbelts was 28%.
After a major radio and television campaign and stricter enforcement by the local police, researchers want to know if the percentage of male drivers between the ages of 19 and 29 who did not regularly use seatbelts has decreased.
They poll a random sample of 100 males between the ages of 19 and 20 and find the percentage who didn't wear their seatbelt was 24%.
Identify the population, parameter, sample and statistic.

Draggable itemarrow_right_altCorresponding Item
100 male drivers between the ages of 19 & 29
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Population
24% didn't wear seatbelts
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Sample
All male drivers between the ages of 19 & 29
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Statistic
True proportion of males between 19 & 29 who don't wear seatbelts
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Parameter
28%
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Question 2
2.

In a major urban area, the percentage of male drivers between the ages of 19 and 29 who did not regularly use seatbelts was 28%.
After a major radio and television campaign and stricter enforcement by the local police, researchers want to know if the percentage of male drivers between the ages of 19 and 29 who did not regularly use seatbelts has decreased.
They poll a random sample of 100 males between the ages of 19 and 20 and find the percentage who didn't wear their seatbelt was 24%.
Identify the null and alternative hypothesis:

Question 3
3.

Approximately 91% of all adults in South Korea have a cell phone. In a simple random sample of 200 adults in the United States, 171 owned cell phones.
Is there convincing evidence to suggest the proportion of adults who own cell phones in the U.S. is lower than the proportion of adults who own cell phones in South Korea?
Conduct a significance test using the 4-step process.
STATE: select what must be stated, there are 4.

Question 4
4.

Approximately 91% of all adults in South Korea have a cell phone. In a simple random sample of 200 adults in the United States, 171 owned cell phones.
Is there convincing evidence to suggest the proportion of adults who own cell phones in the U.S. is lower than the proportion of adults who own cell phones in South Korea?
Conduct a significance test using the 4-step process.
What is the sample statistic? Round to three places
What is the symbol?

Question 5
5.

Approximately 91% of all adults in South Korea have a cell phone. In a simple random sample of 200 adults in the United States, 171 owned cell phones.
Is there convincing evidence to suggest the proportion of adults who own cell phones in the U.S. is lower than the proportion of adults who own cell phones in South Korea?
You are going to conduct a significance test using the 4-step process.
First: What is the alpha level we use if none is specified?

Question 6
6.

Approximately 91% of all adults in South Korea have a cell phone. In a simple random sample of 200 adults in the United States, 171 owned cell phones.
Is there convincing evidence to suggest the proportion of adults who own cell phones in the U.S. is lower than the proportion of adults who own cell phones in South Korea?
Conduct a significance test using the 4-step process.
What are the hypothesis for this significance test?
Ho:
Ha:
Move each answer into the correct category.

  • p=0.855
  • p<0.855
  • p>0.91
  • p=0.91
  • p<0.91
  • Incorrect Answers
Question 7
7.

Approximately 91% of all adults in South Korea have a cell phone. In a simple random sample of 200 adults in the United States, 171 owned cell phones.
Is there convincing evidence to suggest the proportion of adults who own cell phones in the U.S. is lower than the proportion of adults who own cell phones in South Korea?
Conduct a significance test using the 4-step process.
PLAN:
What conditions need to be met before conducting the significance test?

Question 8
8.

PLAN:
Explain if the conditions are met and how you know.

Question 9
9.

DO:
What is the standardized test statistic for this significance test?
Round to two places past the decimal.

Question 10
10.

What is the p-value for this significance test?
Keep all places past the decimal.

Question 11
11.

Interpret the p-value from the previous question.
Hint: this is Lesson 8.1

Question 12
12.

What is your conclusion based on an alpha level of 0.05?
Select three correct answers.

Question 13
13.
Approximately 91% of all adults in South Korea have a cell phone. In a simple random sample of 200 adults in the United States, 171 owned cell phones.
Is there convincing evidence to suggest the proportion of adults who own cell phones in the U.S. is lower than the proportion of adults who own cell phones in South Korea?
Use your formula chart from Chapter 7, calculate a 95% confidence interval for the true proportion of adults who own cell phones in the US.

Use your formula chart!
The 95% Confidence Interval: _______ to _______
Round each number to four places past the decimal.
Question 14
14.

You just calculated a 95% confidence interval for p.
Explain how this interval gives results consistent with the significance test that was just performed.
Hint: does the confidence interval support the sig. test results? If so why? If not, why?
Select three responses to answer & explain.

Question 15
15.

What is a Type I Error in this situation?
What is a Type II Error in this situation?

  • We think that the proportion of adults in the US who have a cell phone is less than 91% but really it is equal to 91%.
  • We think the proportion of adults in the US who have cell phones is equal to 91% but really it is not.
  • We think that the proportion of adults in the US who have a cell phone is more than 91% but really it is equal to 91%.
  • Type I Error
  • Type II Error
  • Incorrect Answer