Question

The p- value for a hypothesis test is shown. Use the P-value to decide whether to reject H0 when the level of significance is a=0.01 or a=0.05 and a=0.10 P=0.0059

Answer 1

The p-value is the probability of the calculated test statistic if possible under the null hypothesis. To decide over a hypothesis test using the p-value you have to compare the said value with the level of significance (α) following the decision rule:

- If the p-value is greater or equal to α, then you do not reject the null hypothesis.

- If the p-value is less than α, then you reject the null hypothesis.

For the p-value= 0.0059 you can make the decision for each scenario:

1) α: 0.01

p.value =0.0059

→ The p-value is less than the significance value, the decision is to reject the null hypothesis.

2) α=0.05

p-value=0.0059

→ The p-value is less than the significance value, the decision is to reject the null hypothesis.

3) α= 0.10

p-value=0.0059

→ The p-value is less than the significance value, the decision is to reject the null hypothesis.