Question

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

Given $P-valueis0.086$

Short answer

The P-value is 0.086, which is in the range of 0.05 to 0.10.

The null hypothesis appears to have some support as a result of the conditions.

Step-by-step solution

Step 1. Given 

The given$P-value\mathrm{is}0.086$

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.

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

Step 3. Conclusion

The P-value is 0.086, which is in the range of 0.05 to 0.10.

That is,$0.05<P-value(=0.086)\le 0.10.$

The null hypothesis appears to have some support as a result of the conditions.