Chapter 10.1, Problem 6E

To determine

To check: the condition for confidence interval

Explanation of Solution

Given:

  $\begin{array}{l}{n}_1=65\\ x_1\text{=0}\\ n_2\text{=65}\\ x_2\text{=16}\end{array}$

Hypothesis test (3 condition)

Random: satisfied, because arbitrary assigned.

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

Normal: Not satisfied, because t only 0 successes in the 1^st sample, which are not at least 10

Since the Normal condition is not satisfied it is not fit to get a confidence interval for $p_1-p_2$ .