Practice Test B 1.3 Chi Square Test for Goodness of Fit (9/12/2023)

Last updated over 2 years ago

10 questions

Required

Practice Test B 1.3 Chi Square Test for Goodness of Fit (9/12/2023)

Last updated over 2 years ago

10 questions

A casino suspects that a patron is using “loaded” dice. They confiscate the dice and test them. They rolled one of them 600 times and got the following results:

Required

Question 1

Which of the following is the null hypothesis for this experiment?

No dice

The die is fair.

The die is unfair.

The dice do not have numbers on them

Required

Question 2

Which of the following is the null hypothesis for this experiment? (again)

There will be more of one number than others.

The proportion of rolls of each number are equal.

The chi square value will be below the critical value.

The proportion of die rolls of each of the six sides are not equal.

Required

Question 3

How many degrees of freedom are there?

Required

Question 4

What is the level of significance (α) that we will always use in this class?

Required

Question 5

What is the critical value?

Required

Question 6

What is the decision rule?

If the chi-square value is less than the critical value, reject the null hypothesis.

If the chi-square value is less than the critical value, accept the null hypothesis.

If the chi-square value is greater than the critical value, reject the null hypothesis.

If the chi-square value is greater than the critical value, accept the null hypothesis.

Required

Question 7

Calculate χ2. Use 2 decimal places.

Required

Question 8

Based on the chi square value, which of the following is the corresponding p-value?

p<0.005

0.005<p<0.01

0.01<p<0.05

0.05<p<0.10

0.10<p<0.20

0.20<p<0.30

0.30<p<0.50

0.50<p<0.70

0.70<p<0.80

0.08<p<0.95

p>0.95

Required

Question 9

Which of the following is the best conclusion?

Fail to reject the null hypothesis

Fail to reject the hypothesis

Reject the hypothesis

Accept the hypothesis

Accept the null hypothesis

Reject the null hypothesis

Required

Question 10

10.

Which of the following is an accurate statement. Insert your calculated value for "<p-value>".

There is a <p-value> probability that the hypothesis is true.

There is a <p-value> probability that the null hypothesis is true.

If the hypothesis is true, there is a probability of <p-value> of obtaining results at least as extreme as our results.

If the null hypothesis is true, there is a probability of <p-value> of obtaining results at least as extreme as our results.

There isn't a <p-value> chance that the hypothesis isn't not false.

A casino suspects that a patron is using “loaded” dice. They confiscate the dice and test them. They rolled one of them 600 times and got the following results:

Question 1

Which of the following is the null hypothesis for this experiment?

No dice

The die is fair.

The die is unfair.

The dice do not have numbers on them

Question 2

Which of the following is the null hypothesis for this experiment? (again)

There will be more of one number than others.

The proportion of rolls of each number are equal.

The chi square value will be below the critical value.

The proportion of die rolls of each of the six sides are not equal.

Question 3

How many degrees of freedom are there?

Question 4

What is the level of significance (α) that we will always use in this class?

Question 5

What is the critical value?

Question 6

What is the decision rule?

If the chi-square value is less than the critical value, reject the null hypothesis.

If the chi-square value is less than the critical value, accept the null hypothesis.

If the chi-square value is greater than the critical value, reject the null hypothesis.

If the chi-square value is greater than the critical value, accept the null hypothesis.

Question 7

Calculate χ2. Use 2 decimal places.

Question 8

Based on the chi square value, which of the following is the corresponding p-value?

p<0.005

0.005<p<0.01

0.01<p<0.05

0.05<p<0.10

0.10<p<0.20

0.20<p<0.30

0.30<p<0.50

0.50<p<0.70

0.70<p<0.80

0.08<p<0.95

p>0.95

Question 9

Which of the following is the best conclusion?

Fail to reject the null hypothesis

Fail to reject the hypothesis

Reject the hypothesis

Accept the hypothesis

Accept the null hypothesis

Reject the null hypothesis

Question 10

10.

Which of the following is an accurate statement. Insert your calculated value for "<p-value>".

There is a <p-value> probability that the hypothesis is true.

There is a <p-value> probability that the null hypothesis is true.

If the hypothesis is true, there is a probability of <p-value> of obtaining results at least as extreme as our results.

If the null hypothesis is true, there is a probability of <p-value> of obtaining results at least as extreme as our results.

There isn't a <p-value> chance that the hypothesis isn't not false.