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 decision made suggests that admissions status at the college is independent of the type of community in which an applicant resides.

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 decision made suggests that admissions status at the college is independent of the type of community in which an applicant resides.

Quizplus · Accepted Answer

To determine if admissions status is independent of the type of community, a chi-square test of independence needs to be conducted with a level of significance of 0.01. The calculated chi-square value for the given table is 9.55 which is less than the critical chi-square value. Therefore, we fail to reject the null hypothesis that admissions status is independent of the type of community. Hence, the decision made suggests that admissions status at the college is independent of the type of community in which an applicant resides, which is true.

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