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Chapter 8: Q. 9.62 (page 370)

We have given the P-value for a hypothesis test. For each exercise determine the strength of the evidence against null hypothesis.

Given

P-valueis0.012

Short Answer

Expert verified

The P-value lies between0.01<P-value(0.012)鈮�0.05.

The null hypothesis is clearly rejected as a result of the conditions.

Step by step solution

01

Step 1. Given 

TheP-valueis0.012.

02

Step 2. Conditions for evaluating strength of the evidence 

Criteria for testing the strength of evidence from P values:

weak or no evidence to contradict the null hypothesis.

-0.05<P-value鈮�0.10,moderate evidence contradict the null hypothesis.

-0.01<P-value<0.05, strong evidence contradict the null hypothesis.

-P-value<0.01,the strongest evidence contradict the null hypothesis.

03

Step 3. Conclusion

Here, theP-valueis0.012,which lies between 0.01 and 0.05.

That is,0.01<P-value(0.012)鈮�0.05.

The null hypothesis is clearly rejected as a result of the conditions.

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Most popular questions from this chapter

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

a. State a conclusion about the null hypothesis. (Reject H0or fail to reject H0.)

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