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11) True or False: A test for the difference between
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# Question : 11) True or False: A test for the difference between : 1403638

11) True or False: A test for the difference between two proportions can be performed using the chi-square distribution.

12) True or False: A test for whether one proportion is higher than the other can be performed using the chi-square distribution.

TABLE 12-2

The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job offers. If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05.

13) Referring to Table 12-2, the hypotheses the dean should use are

A) H0 : π1 - π2 = 0 versus H1 : π1 - π2 ≠ 0.

B) H0 : π1 - π2 ≠ 0 versus H1 : π1 - π2 = 0.

C) H0 : π1 - π2 ≤ 0 versus H1 : π1 - π2 > 0.

D) H0 : π1 - π2 ≥ 0 versus H1 : π1 - π2 < 0.

14) Referring to Table 12-2, the null hypothesis will be rejected if the test statistic is ________.

15) Referring to Table 12-2, the value of the test statistic is ________.

16) Referring to Table 12-2, the p-value of the test is ________.

17) True or False: Referring to Table 12-2, the null hypothesis should be rejected.

18) True or False: Referring to Table 12-2, the same decision would be made with this test if the level of significance had been 0.01 rather than 0.05.

19) True or False: Referring to Table 12-2, the same decision would be made with this test if the level of significance had been 0.10 rather than 0.05.

TABLE 12-3

The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following:

 Male Female Total Local 27 44 71 Non-Local 33 25 58 Total 60 69 129

She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05.

20) Referring to Table 12-3, the test will involve ________ degree(s) of freedom.

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