Chapter 12.1, Problem 2E

Suppose we have a multinomial population with four categories: A, B, C, and D. The null hypothesis is that the proportion of items is the same in every category. The null hypothesis is

$H_0:p_{\text{A}}=p_{\text{B}}=p_{\text{C}}=p_{\text{D}}=.25$

A sample of size 300 yielded the following results.

A: 85 B: 95 C: 50 D: 70

Use α = .05 to determine whether H₀ should be rejected. What is the p-value?