Chapter 11.1, Problem 21E

To determine

To find a decision about hypothesis testing.

Answer to Problem 21E

Because the 0.0129 is less than a = 0.05 reject H0. There is not convincing evidence that the food choices are equally popular.

Explanation of Solution

Given:

Type of food	Ramen	Tacos	Pizza	Hamburgers
Count	18	22	39	21

Null and alternative hypotheses:

  $H_0:p_R=p_T=p_P=p_H=0.25$

  $H_a:Atleastoneofthe{p}_i’sisincorrect.$

The p-value = 0.0129

Level of significance = a = 0.05

The decision should be regarding a claim.

Decision: Because the 0.0129 is less than a = 0.05 reject H0. There is not convincing evidence that the food choices are equally popular. Hence, option b is correct