Question

Based on your answer to Question 3, would you be surprised if the difference in the proportion of red crackers in the two samples was $\widehat{p_1}-{\hat{p}}_2=-0.02$? Explain.

Short answer

The obtained probability of difference is $0.2061$which is not too small. Thus, it could be said that difference in the proportion of crackers that are red is $-0.02$.

Step-by-step solution

Given Information

$P\left({\hat{p}}_1-{\hat{p}}_2\ge -0.02\right)=0.2061$.

Explanation

The obtained probability of difference is $0.2061$which is not too small. Thus, it could be said that difference in the proportion of crackers that are red is $-0.02$.