SCENARIO 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 Scenario 12-11, the same decision would be made with this test if
the level of significance had been 0.005.

Question

SCENARIO 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 Scenario 12-11, the same decision would be made with this test if
the level of significance had been 0.005.

Quizplus · Accepted Answer

The critical value for a two-tailed test with a level of significance of 0.005 is 2.576. The test statistic in Scenario 12-11 is 2.65, which is greater than the critical value. Therefore, the same decision would be made with this test if the level of significance had been 0.005.

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