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Chapter 11: Q.10 (page 693)

No chi-squareThe principal in Exercise 9also asked the random sample of students to record whether they did all of the homework that was assigned on each of the 铿乿e school days that week. Here are the data:

Explain carefully why it would not be appropriate to perform a chi-square goodness-of-铿乼 test using these data.

Short Answer

Expert verified

From the given information, the variable of interest is the average number of students who completed their homework and can give quantitative values, and the chi-square goodness of the test is used on a categorical variable, with quantitative variables. so it would not be appropriate to perform a chi-square goodness-of-铿乼 test using these data.

Step by step solution

01

Given Information

It is given in the question that,

02

Step 2: Explanation

The variable of interest is the average number of students who completed their homework and can give quantitative values, and the chi-square goodness of the test is used on a categorical variable, with quantitative variables. As a result, chi-square goodness of fit cannot be used in this case.

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Most popular questions from this chapter

The conditions for carrying out the chi-square test in exercise T11.2 are

I. Separate random samples from the populations of interest.

II. Expected counts large enough.

III. The samples themselves and the individual observations in each sample are independent.

Which of the conditions is (are) satisfied in this case?

(a) I only

(d) Il and III only

(b) II only

(e) I, II, and III

(c) I and II only

Perform a follow-up analysis of the test in Exercise 40 by finding the individual components of the chi-square statistic. Which cell(s) contributed most to the final result?

Calculate the expected count for each color, assuming that the company鈥檚 claim is true. Show your work.

Assuming H0is true, the expected number of Hispanic drivers who would receive a ticket is

(a) 8

(c) 11.

(e) 12.

(b) 10.36

(d) 11.84

Do men and women participate in sports for the same reasons? One goal for sports participants is social comparison鈥攖he desire to win or to do better than other people. Another is mastery鈥攖he desire to improve one鈥檚 skills or to try one鈥檚 best. A study on why students participate in sports collected data from independent random samples of 67male and 67female undergraduates at a large university. Each student was classified into one of four categories based on his or her responses to a questionnaire about sports goals. The four categories were high social comparison鈥� high mastery (HSC-HM), high social comparison鈥� low mastery (HSC-LM), low social comparison鈥揾igh mastery (LSC-HM), and low social comparison鈥搇ow mastery (LSC-LM). One purpose of the study was to compare the goals of male and female students. Here are the data displayed in a two-way table:

GoalFemaleMaleHSC-HM1431HSC-LM2118LSC-HM215LSC-LM2513

(a) Calculate the conditional distribution (in proportions) of the reported sports goals for each gender.

(b) Make an appropriate graph for comparing the conditional distributions in part (a).

(c) Write a few sentences comparing the distributions of sports goals for male and female undergraduates.
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