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Chapter 8: Q27 (page 372)

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

a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)

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

Expert verified

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

01

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

02

Hypotheses

Let μ be the population mean pulse rate of adult males.

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

Null Hypothesis H0:μ=72

Alternative Hypothesis H1:μ≠72

03

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.

04

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.

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Most popular questions from this chapter

In Exercises 9–12, refer to the exercise identified. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favours heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favours heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).

Exercise 5 “Online Data”

Test Statistics. In Exercises 13–16, refer to the exercise identified and find the value of the test statistic. (Refer to Table 8-2 on page 362 to select the correct expression for evaluating the test statistic.)

16. Exercise 8 “Pulse Rates”

Critical Values. In Exercises 21–24, refer to the information in the given exercise and do the following.

a. Find the critical value(s).

b. Using a significance level of α= 0.05, should we reject H0or should we fail to reject H0?

Exercise 19

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Technology. In Exercises 9–12, test the given claim by using the display provided from technology. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.

Airport Data Speeds Data Set 32 “Airport Data Speeds” in Appendix B includes Sprint data speeds (mbps). The accompanying TI-83/84 Plus display results from using those data to test the claim that they are from a population having a mean less than 4.00 Mbps. Conduct the hypothesis test using these results.
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