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Chapter 11: Q.62 (page 731)

Sorry, no chi-square (11.1) Explain why it would not be appropriate to perform a chi-square goodness-of-fit test in this setting.

Short Answer

Expert verified

The non-parametric tests like chi-square test for independence could be used.

Step by step solution

01

Given Information

The table is given,

02

Explanation

The ordinal data is categorical data where the distance between categories could not be measured.

The data provided here is ordinal data and the chi-square goodness of fit test could not be used on such data. However, non-parametric tests like the chi-square test for independence could be used.

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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

Why men and women play sports Do men and women participate in sports for the same reasons? One goal for sports participants is social comparision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 67 male and 67 female under-graduates at a large university 15 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: Observed Counts for Sports Goals

(a) Check that the conditions for performing the chi-square test are met.

(b) Use Table C to find the P-value. Then use your calculator鈥檚 C2cdf command.

(c) Interpret the P-value from the calculator in context.

(d) What conclusion would you draw? Justify your answer.

Your teacher prepares a large container full of colored beads. She claims that 1/8of the beads are red, 1/4are blue, and the remainder are yellow. Your class will take a simple random sample of beads from the container to test the teacher鈥檚 claim. The smallest number of beads you can take so that the conditions for performing inference are met is

(a) 15. (c) 30. (e) 80.

(b) 16. (d) 40

Removing warts A recently reported study looked at the use of oral zinc supplements to get rid of warts. The treatment group took an oral zinc supplement. Of these 32people, 19were rid of their warts after one month, and 6additional patients were rid of them after two months. The 23subjects in a control group were given a placebo. Of these, 1was rid of his warts after one month and 2additional patients were rid of their warts after two months. The reported results of the study included this table.

(a) The researchers say they did a chi-square test on this table. Explain why that makes no sense. Then make a correct two-way table displaying the results of the experiment.

(b) Explain why it is not appropriate to use a chi-square test in this setting even with the correct two-way table.

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