Chapter 10.1, Problem 8E

To determine

To check: the condition for confidence interval

Explanation of Solution

Given:

  $\begin{array}{c}{n}_1=500\\ x_1\text{=484}\\ n_2\text{=500}\\ x_2\text{=480}\end{array}$

Hypothesis test (3 condition)

Random: satisfied, because arbitrary assigned.

Independent: satisfied because of used all data values in the population and used sample

Normal: satisfied, because 1^st sample =484 successes and 500-484=16 failure

2^nd sample=480 successes and 500-480=20 failure, both the at least 10

Since all the conditions are satisfied, it is fit to get a confidence interval for $p_1-p_2$ .