Chapter 11.1, Problem 19E

To determine

To state appropriate hypotheses.

Answer to Problem 19E

  $H_0:p_R=p_T=p_P=p_H=0.25$

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

Explanation of Solution

Given:

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

Claim: Each type of food will equally popular.

Total count = 100

To divide foods in equal proportion, need to divide 1 by 4.

Therefore, $proportion=\frac{1}{4}=0.25$

Null and alternative hypotheses:

  $H_0:p_R=p_T=p_P=p_H=0.25$

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