Question

Which of the following p values will lead us to reject the null hypothesis if the level of significance equals .05?

a. 0.100
b. 0.051
c. 0.150
d. 0.015

Answer 1

So then our significance level is
`\alpha=0.05` and we need to remember these two conditions:

1) If the p value
`p_v <\alpha` we have enough evidence to reject the null hypothesis at the significance level given

2) If the p value
`p_v \geq \alpha` we have enough evidence to FAIL reject the null hypothesis at the significance level given

And baed on the options we see that the only possibility would be:

d. 0.015

Explanation:

We want to know for which value we would REJECT the null hypothesis.

So then our significance level is
`\alpha=0.05` and we need to remember these two conditions:

1) If the p value
`p_v <\alpha` we have enough evidence to reject the null hypothesis at the significance level given

2) If the p value
`p_v \geq \alpha` we have enough evidence to FAIL reject the null hypothesis at the significance level given

And baed on the options we see that the only possibility would be:

d. 0.015