Chapter 8, Problem 9SE

Soda Orders (Example 2) A manager at a casual dining restaurant noted that $15\%$ of customers ordered soda with their meal. In an effort to increase soda sales, the restaurant begins offering free refills with every soda order for a two-week trial period. During this trial period, $17\%$ of customers ordered soda with their meal. To test if the promotion was successful in increasing soda orders, the manager wrote the following hypotheses: ${\text{H}}_{\text{0}}:p=0.15$ and ${\text{H}}_{\text{a}}:\hat{p}=0.17$, where $\hat{p}$ represents the proportion of customers who ordered soda with their meal during promotion. Are these hypotheses written correctly? Correct any mistakes as needed.