AP Statistics: Inference for Categorical Data (ChiSquare) Practice Test
AP Statistics: Inference for Categorical Data (ChiSquare) Practice Test
Quiz Summary
0 of 19 questions completed
Questions:
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
Information
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading…
You must sign in or sign up to start the quiz.
You must first complete the following:
Results
Results
0 of 19 questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)
Average score 

Your score 

Categories
 Not categorized 0%
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 Answered
 Review

Question 1 of 19
1. Question
Y follows a chisquared distribution with 6 degrees of freedom and X 1 through X n
are independent standard normal variables. , what is n?CorrectIncorrect 
Question 2 of 19
2. Question
Find the degrees of freedom.
CorrectIncorrect 
Question 3 of 19
3. Question
What must be true about the expected values in a chisquare test?
CorrectIncorrect 
Question 4 of 19
4. Question
Which test would you use to see if the distribution of music that Californians listen to is the same as that of Nevadans? 900 Californians and 600 Nevadans were surveyed
CorrectIncorrect 
Question 5 of 19
5. Question
In 1974, each acre of the Tahoe basin was assessed to see what condition the soil was in. 23% of acres were of type I, 32% were of type II, 41% were of type III, and 16% were of type IV. This year the region was assessed again and the number of each type were again determined. Which test would you use?
CorrectIncorrect 
Question 6 of 19
6. Question
What are the expected counts of a female who likes Pepsi?
CorrectIncorrect 
Question 7 of 19
7. Question
A chisquare test is used to test whether a 0 to 9 spinner is “fair” (that is, the outcomes are all equally likely). The spinner is spun 100 times, and the results are recorded. The degrees of freedom for the test will be
CorrectIncorrect 
Question 8 of 19
8. Question
Recent revenue shortfalls in a mid western state led to a reduction in the state budget for higher education. To offset the reduction, the largest state university proposed a 25% tuition increase. It was determined that such an increase was needed simply to compensate for the lost support from the state. Separate random samples of 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors from the university were asked whether they were strongly opposed to the increase, given that it was the minimum increase necessary to maintain the university’s budget at current levels. The results are in the table provided. Why hypotheses would be appropriate for performing a chisquare test?
CorrectIncorrect 
Question 9 of 19
9. Question
A random sample of traffic tickets given to motorists in a large city is examined. The tickets are classified according to the race of the driver. The results are summarized in the table provided. The category that contributes the largest component to the χ2 statistic is
The proportion of this city’s population in each of the racial categories listed above is as follows:
We wish to test H 0 : The racial distribution of traffic tickets in the city is the same as the racial distribution of the city’s population.
CorrectIncorrect 
Question 10 of 19
10. Question
Which statement is NOT correct about the chisquare test statistic?
CorrectIncorrect 
Question 11 of 19
11. Question
The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the following school year. She wants to know if each type of food will be equally popular so she can start ordering supplies making other plans. To find out, she selects a random sample of 100 students and asks them, “Which type of food do you prefer: Asian food, Mexican food, pizza, or hamburgers?” Here are the data in the table provided. An appropriate null hypothesis to test whether the food choices are equally popular is:
CorrectIncorrect 
Question 12 of 19
12. Question
Which of the following is false?
CorrectIncorrect 
Question 13 of 19
13. Question
What are the degrees of freedom for the following χ2 test?
CorrectIncorrect 
Question 14 of 19
14. Question
Tate works at an ice cream stand. Every customer can choose one of two toppings—sprinkles or chocolate chips. He recorded the age group and the chosen topping for a random sample of 120 customers. Here are the results: Tate wants to perform a χ2, squared test of independence between age and topping. What is the expected count for the cell corresponding to adults that chose sprinkles?
CorrectIncorrect 
Question 15 of 19
15. Question
Edison, Xiu, and Amia are childhood friends who go to different high schools. They were wondering if there’s a difference between their schools in the number of friends people have on social media. They each surveyed a random sample of students from their schools, asking for the number of friends they have on social media. Here are the results: Tate wants to perform a χ2 test of homogeneity on these results. What is the expected count for the cell corresponding to students from Edison’s school that have more than 300 friends?
CorrectIncorrect 
Question 16 of 19
16. Question
A market researcher for a communications company took a sample of 300 customers to see if those with children were more or less likely to pay for upgraded internet speeds. Here are the outcomes and partial results of a chi square test (expected counts appear below observed counts):They want to use these results to carry out a χ2 test of association. Assume that all conditions for inference were met. What are the values of the test statistic and Pvalue for their test?
CorrectIncorrect 
Question 17 of 19
17. Question
A group of researchers wondered whether there was an association between handedness and which foot was longest. They took a random sample of people, measured their feet, and recorded their handedness. Here are the outcomes and partial results of a chisquare test (expected counts appear below observed counts): They want to use these results to carry out a χ2 test of association. Assume that all conditions for inference were met. What are the values of the test statistic and Pvalue for their test?
CorrectIncorrect 
Question 18 of 19
18. Question
A market researcher was curious about the colors of different types of vehicles. They obtained a random sample of 180 sedans and a separate random sample of 180 trucks. Here is a summary of the colors in each sample and the results from a chisquared test: χ2 = 11.558, DF = 3, Pvalue = 0.009 Assume that all conditions for inference were met. At the α = 0.05 significance level, what is the most appropriate conclusion to draw from this test?
CorrectIncorrect 
Question 19 of 19
19. Question
A company offers a smartphone in 3 different colors and 3 different capacities. A market researcher was curious if there was a relationship between the color and capacity that owners of this phone preferred. They obtained information about a random sample of 500 owners. Here is a summary of the data and the results from a chisquared test:χ2 = 8.479, DF = 4, Pvalue = 0.076 Assume that all conditions for inference were met. At the α = 0.05 significance level, what is the most appropriate conclusion to draw from this test?
CorrectIncorrect