Question

Final Conclusions. In Exercises 25–28, use a significance level of $\alpha$= 0.05 and use the given information for the following:

a. State a conclusion about the null hypothesis. (Reject $H_0$ or fail to reject $H_0$.)

b. Without using technical terms or symbols, state a final conclusion that addresses the original claim.

Original claim: The mean pulse rate (in beats per minute) of adult males is 72 bpm. The hypothesis test results in a P-value of 0.0095.

Short answer

a. The null hypothesis is rejected at a 0.05 level of significance.

b. There is insufficient evidence to support the claim that the mean pulse rate of adult males is equal to 72 bpm.

Step-by-step solution

Given information

A claim is tested that the mean pulse rate of adult males is 72 beats per minute (bpm).

The p-value for this test is equal to 0.0095

Hypotheses

Let $\mu$ be the population mean pulse rate of adult males.

In correspondence with the given claim, the following hypotheses are set up:

Null Hypothesis $\left(H_0\right):\mu =72$

Alternative Hypothesis $\left(H_1\right):\mu \ne 72$

Decision about the test

a.

If the p-value is less than the level of significance, the null hypothesis is rejected; otherwise, not.

Here, the level of significance is equal to 0.05, and the p-value is equal to 0.0095.

Since the p-value is less than 0.05, the null hypothesis is rejected.

Conclusion

b.

There is not sufficient evidence to support the claim that the mean pulse rate of adult males is not equal to 72 bpm.