Chapter 12, Problem 37PT4

To determine

To explain the meaning of p-value.

Answer to Problem 37PT4

d) The probability of getting a sample statistic as far or further from the null value if there really is no difference between the new and the old circuits is 0.035.

Explanation of Solution

Given:

The null and alternative hypotheses:

  $\begin{array}{l}{H}_0:\mu =58\\ H_a:\mu >58\end{array}$

P-value is 0.035

First need to know the general meaning of p-value. The p-value is the measure of probability of getting the same value or a more extreme value as the null hypothesis value when null hypothesis is true.

Therefore, the p-value is 0.035 which is low. Hence, the probability of getting a sample statistic as far or further from the null value if there really is no difference between the new and old circuits.