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State two reasons why including the P-value is prudent when you are reporting the results of a hypothesis test.

Short Answer

Expert verified

The two reasons are as follows:

1. The P value allows you to check the value at any level you want because it provides the lowest value level we can rejectH0

2. From the P-value we can test the strength of the evidence againstH0

Step by step solution

01

Step 1. Given 

The results of a hypothesis test.

02

Step 2. Reasons 

The two reasons are as follows:

1. The P value allows you to check the value at any level you want because it provides the lowest value level we can rejectH0

2. From the P-value we can test the strength of the evidence againstH0

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Most popular questions from this chapter

The normal probability curve and stem-to-leaf diagram of the data are shown in figure; σis unknown.

Perform Hypothesis test for mean of the population from which data is obtained and decide whether to use z-test, t-test or neither. Explain your answer.

We have been provided a sample mean, sample size, and population standard deviation. In the given case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level.

x¯=24,n=15,σ=4,H0:μ=22,Ha:μ>22

Determine the critical value(s) for a one-mean z-test at the 1 % significance level if the test is

a. right tailed.

b. left tailed.

c. two tailed.

In Exercise 8.146 on page 345,we introduced one-sided one mean-t-intervals. The following relationship holds between hypothesis test and confidence intervals for one-mean t-procedures: For a right-tailed hypothesis test at the significance level α, the null hypothesis H0:μ=μ0will be rejected in favor of the alternative hypothesis data-custom-editor="chemistry" Ha:μ>μ0if and only if μ0is less than or equal to the 1-α-level lower confidence bound for μ. In each case, illustrate the preceding relationship by obtaining the appropriate lower confidence bound and comparing the result to the conclusion of the hypothesis test in the specified exercise.

Part (a): Exercise 9.114 (both parts)

Part (b) Exercise9.115

Left-Tailed Hypothesis Tests and CIs. In Exercise 8.146 on page 345 , we introduced one-sided one-mean t-intervals. The following relationship holds between hypothesis tests and confidence intervals for one-mean t-procedures: For a left-tailed hypothesis test at the significance level α, the null hypothesis H0:μ=μ0 will be rejected in favor of the alternative hypothesis Ho:μ<μ0 if and only if μ0 is greater than or equal to the (1−α)-level upper confidence bounif for μ. In each case, illustrate the preceding relationship by obtaininy the appropriate upper confidence bound and comparing the result to the conclusion of the hypothesis test in the specified exercise.
a. Exercise9.117
b. Exercise9.118
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