Determine whether the following statements are true or false

Determine whether the following statements are true or false.

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.

Admitted Wait List Denied Total

Urban 45 21 17 83

Rural 33 13 24 70

Surburban 34 12 39 85

Total 112 46 80 23

He will use this table to do a chi-square test of independence with a level of significance of 0.01. Based on the given information, the null hypothesis will be rejected.

True or false

Solution

Set up null and alternate hypotheses

H0: Admissions at his college is independent of the type of community in which an applicant resides.

Ha: Atleast two are dependent.

Prepare chi square contingency table.

chi-square = 12.6
degrees of freedom = 6
probability = 0.049

As p value >0.01 accept null hypothesis.

False