Chapter 26, Problem 31E

To determine

To perform goodness of fit test.

Answer to Problem 31E

There is sufficient evidence to reject the claim that area and party affiliation are independent.

Explanation of Solution

Given:

  

The null and alternative hypotheses:

  $H_0$ : Area and party affiliation are independent.

  $H_a$ : Area and party affiliation are not independent.

Using excel,

  

  ${\chi }^2$ = 13.85 and P-value = 0.0078

Decision: The p-value < 0.05, reject H0.

Conclusion: There is sufficient evidence to reject the claim that area and party affiliation are independent.