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Unit 8

8.8 Multiple Choice Questions

5 min read•june 18, 2024

AP Statistics 📊

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Multiple Choice Practice for Inference for Categorical Data: Chi-Square

Welcome to Unit 8 AP Statistics Multiple Choice Questions! Grab some paper and a pencil 📄 to record your answers as you go. You can see how you did on the Unit 8 Practice Questions Answers and Review sheet once you're done. Don't worry, we have tons of resources available if you get stumped 😕 on a question. And if solo study is not your thing, join a group in Hours! Not ready to take a quiz yet? Check out the Intro to Unit 8.

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Facts about the test: The AP Statistics exam has 40 multiple choice questions and you will be given 1 hour 30 minutes to complete the section. That means it should take you around 11 minutes to complete 5 questions.

*The following questions were not written by College Board and although they cover information outlined in the AP Statistics Course and Exam Description the formatting on the exam may be different.

1. An individual wants to run a chi-squared goodness of fit test to determine how students in three different education settings (lecture, group work, individual online work) performed on an exam in terms of pass/fail. How many degrees of freedom would you require for this GOF test?

A. 1

B. 2

C. 3

D. 5

2. To verify large counts for any chi-squared test, we need to make sure our __________ counts are greater than ______.

A. Expected, 10

B. Observed, 5

C. Expected, 5

D. Observed, 10

3. A chi-squared distribution only has ________ values.

A. Positive

B. Negative

C. Even

D. Decimal

4. What makes the skewness of a chi-squared distribution less pronounced?

A. Larger population

B. Larger sample size

C. Smaller confidence level

D. Larger degrees of freedom

5. Which of the following is the correct alternate hypothesis for a chi-squared goodness of fit test?

A. At least one of the proportions in the null hypothesis is incorrect

B. There is an association between the two variables we are measuring.

C. There is not an association between the two variables we are measuring.

D. p=(given population proportion)

6. Which chi-squared test would be appropriate if we were to be measuring the difference in the proportion of MM colors, assuming that the proportion of all colors are equal?

A. Chi-Squared Test for Independence

B. Chi-Squared Test for Homogeneity

C. Chi-Squared Test for Association

D. Chi-Squared Goodness of Fit

7. When running a chi-squared GOF test and obtaining a p-value of 0.02, what would our conclusion be after finishing the test?

A. Since our p-value is less than 0.05, we accept the alternate hypothesis. We have convincing evidence of the alternate hypothesis.

B. Since our p-value is less than 0.05, we reject the Ho. We have convincing evidence that at least one of the proportions in the Ho is incorrect.

C. Since our p-value is less than 0.05, we fail to reject the null hypothesis. We have convincing evidence that the null hypothesis proportions are true.

D. Since our p value is less than 0.05, we accept the null hypothesis. There is no evidence that anything is different than what is stated in the null.

8. What do we assume when running any chi squared test?

A. The null hypothesis is false

B. The null hypothesis is true

C. The distribution is normal

D. The alternate hypothesis is true

9. When determining the expected counts from a two way table, which formula should we use?

A. Number of categories minus 1

B. (row total)(column total)/table total

C. row total minus 1

D. column total minus 1

10. Which of the following is an appropriate null hypothesis for a chi-squared test for independence?

A. There is no association between variable X and variable Y in our given population.

B. There is an association between the two variables we are measuring.

C. We have evidence of the two variables being connected

D. p1=0

11. For a chi-squared test for homogeneity in a randomized experiment, which of the following is not necessary as a condition of inference?

A. All expected counts at least 5

B. Treatments randomly assigned

C. There are two samples that our data is drawn from.

D. Sample size at least 30

12. How do we determine the degrees of freedom for a chi square test with two variables (homogeneity or independence)?

A. Number of Rows minus 1

B. Number of columns minus 1

C. (number of rows-1)(number of columns-1)

D. Table total minus 1

13. Mr. Barcel decides to perform a chi squared test to see if there is a significant difference in the flavor of Takis people prefer. Which test would be necessary to run here?

A. Chi Squared Goodness of Fit

B. Chi Squared Test for Independence

C. Chi Squared Test for Homogeneity

D. Chi Squared Test for Difference of Squares

14. A random sample is taken between high school students on what their favorite type of cheese is and if they like cake or pie. Which chi-squared test would be appropriate here to determine if cheese and dessert preference are associated?

A. Chi Squared Goodness of Fit Test

B. Chi Squared Test for Homogeneity

C. Chi Squared Test for Difference of Squares

D. Chi Squared Test for Independence

15. A school counselor is interested if the preference between In N Out, Whataburger and McDonalds is different between two schools. To do so, she takes a random sample of 200 students from each school and asks their restaurant choice. What type of chi-squared test would be appropriate here?

A. Chi Squared Test for Independence

B. Chi Squared Goodness of Fit Test

C. Chi Squared Test for Homogeneity

D. Chi Squared Test for Difference of Squares