TABLE 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,waiting list,denied admission)at his college is independent of the type of community in which an applicant resides.He takes a sample of recent admissions decisions and forms the following table: He will use this table to do a chi-square test of independence with a level of significance of 0.01.
-True or False: Referring to Table 12-11,the same decision would be made with this test if the level of significance had been 0.005.

Question

TABLE 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,waiting list,denied admission)at his college is independent of the type of community in which an applicant resides.He takes a sample of recent admissions decisions and forms the following table:  He will use this table to do a chi-square test of independence with a level of significance of 0.01.
-True or False: Referring to Table 12-11,the same decision would be made with this test if the level of significance had been 0.005.

Quizplus · Accepted Answer

Since the level of significance (0.005) is lower than the original level of significance (0.01), the test would still reject the null hypothesis of independence if the calculated chi-square value is greater than the critical value from the chi-square distribution with 4 degrees of freedom. Therefore, the same decision would be made with this test.

TABLE 12-11 The Director of Admissions at a State College Is Interested