Chapter 9.1, Problem 14E

To determine

To Explain: the wrong explanation of the student.

Explanation of Solution

Given:

  $\begin{array}{l}P=0.22=22\%\\ H_0:p=0.3\\ H_a:p<0.3\end{array}$

The p-value is the probability of getting the value of the test statistic, or a value more extreme, when the null hypothesis is true.

It is observed that there are two issues with the given interpretation is that the probability is not about the null hypothesis being true. But the probability should be about the sample results.

There is a 22% possibility of getting the sample result or less by chance alone, when the null hypothesis $H_0:p=0.3$ is true.