Question

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

Given$P-value=0.027$

Short answer

The P value is 0.06, which is in the range of 0.01 to 0.05.

As a result, the null hypothesis is strongly discounted.

Step-by-step solution

Step 1. Given

The given$P-value=0.027$.

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.

$0.05<P-value\le 0.10,$moderate evidence contradict the null hypothesis.

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

$P-value\le 0.01,$the strongest evidence contradict the null hypothesis.

Step 3. Conclusion

The P value is 0.06, which is in the range of 0.01 to 0.05.

That is, $0.01<P-value(=0.027)\le 0.05$

As a result, the null hypothesis is strongly discounted.