Chapter 9.1, Problem 13E

To determine

To Explain: the wrong explanation of student.

Explanation of Solution

Given:

  $\begin{array}{l}P=0.044=4.4\%\\ H_0:\mu =100\\ H_a:\mu >100\end{array}$

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 of the P-value:

• The interpretation is not given that the probability only carries when the null hypothesis is true.
• The interpretation is not given that the sample results can be more extreme (larger) as well.