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

Given P-valueis0.004.

Short Answer

Expert verified

The P-value is 0.004, which is lower than the 0.01 threshold.

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

Step by step solution

01

Step 1. Given

The givenP-valueis0.004.

02

Step 2. Conditions for evaluating strength of the evidence 

Criteria for testing the strength of evidence from P values:

-0.10<P-value,weak or no evidence to contradict the null hypothesis.

-0.05<P-value0.10,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

Conclusion

The P-value is 0.004, which is lower than the 0.01 threshold.

That is, P-value(=0.004)<0.01.

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

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