Chapter 10.1, Problem 13E

To determine

To explain does the confidence interval provide convincing evidence that the two population proportions are equal or not.

Answer to Problem 13E

Yes, it provides the convincing evidence that the two population proportions are equal.

Explanation of Solution

It is given in the question that at $99\%$ confidence interval, we have,

  $(-0.020,0.120)$

As we can see that the confidence interval contains zero which implies that it is likely that the difference is proportion is zero and thus it is likely that the two population proportions are equal.

Thus, this means that it is possible that the population proportions are equal and thus we conclude that there is no convincing evidence that the two population proportions are not equal.