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.
-Referring to Table 12-11, the same decision would be made with this test if the level of significance had been 0.05.

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.
-Referring to Table 12-11, the same decision would be made with this test if the level of significance had been 0.05.

Quizplus · Accepted Answer

The decision to reject or fail to reject the null hypothesis in a chi-square test of independence depends on the level of significance. A higher level of significance (such as 0.01) requires stronger evidence against the null hypothesis, whereas a lower level of significance (such as 0.05) allows for weaker evidence against the null hypothesis. Therefore, if the level of significance had been 0.05 instead of 0.01, the decision could be different.

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