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A recent study of the relationship between Social Activity and Education for a s

ID: 3326609 • Letter: A

Question

A recent study of the relationship between Social Activity and Education for a sample of corporate executives showed the following results.

                                               Social Activity

Education           Above Average        Average          Below Average

College                     30                             20                    10

High School              20                             40                    90

Grade School           10                              50                   130

The appropriate test statistic for the analysis is a(n) _________.

A.) F statistic

B.) t statistic

C.) Z statistic

D.) Chi-square statistic

E.) Poisson statistic

Explanation / Answer

Here we are trying to judge whether there is a relationship between the two variables - Social Activity and Education. The null and the alternate hypothesis here are given as:

H0: The two variables are not associated here and are independent.

HA: The two variables are associated and not independent.

This is a case of a chi square test statistic where the expected frequencies are first computed and then the chi square test statistic is computed.

Therefore D is the correct answer here.