Question

If the p-value for a hypothesis test is 0.027 and the chosen level of significance is a=0.05, then the correct conclusion is to

Answer 1

`p_v = 0.027`

And for this case we have a significance level
`\alpha=0.05` and then:

`p_v <\alpha`

So then we have enough evidence to reject the null hypothesis. And we can conclude in favor the alternative hypothesis.

Explanation:

For this case we have the following hypothesis:

`Null hypothesis: p =p_o`

`Alternative hypothesis: p \\eq p_o`

And for this case we got the following hypothesis:

`p_v = 0.027`

And for this case we have a significance level
`\alpha=0.05` and then:

`p_v <\alpha`

So then we have enough evidence to reject the null hypothesis. And we can conclude in favor the alternative hypothesis.