Chapter 9, Problem 1CQ

Fill in the blank: A test of the hypotheses $H_0:\mu =65$ versus $H_1:\mu \ne 65$ was performed. The P-value was 0.035. Fill in the blank: If $\mu =65$, then the probability of observing a test statistic as extreme as or more extreme than the one actually observed is _____.

To determine

To fill the blank with an appropriate word.

Answer to Problem 1CQ

The blank needs to be filled by 0.035.

Explanation of Solution

Given:

  $\begin{array}{l}{H}_0:\mu =65\\ H_0:\mu \ne 65\end{array}$

P value = 0.035

P Value refers to the probability of getting the observed result considering that the null hypothesis is true. The P value defines whether to accept or reject the null hypothesis. The higher P value favor “not to reject the null hypothesis”.

In other words, Considering the null hypothesis true, then the probability of observing a test statistic as extreme as or more extreme than the one actually observed is P value.

So, blank needs to be filled by 0.035.