Suppose you perform a significance test and, based on the p-value, decide to rej

Question

Suppose you perform a significance test and, based on the p-value, decide to reject the null hypothesis at the 0.05 significance level. A colleague decides to use a different significance level when analyzing the same data. For each of the following significance levels, determine what your colleague would decide.

=0.10

Reject the null hypothesis.

Fail to reject the null hypothesis

Do not have enough information to say.

=0.01

Reject the null hypothesis.

Fail to reject the null hypothesis

Do not have enough information to say.

Reject the null hypothesis.

Fail to reject the null hypothesis

Do not have enough information to say.

Explanation / Answer

Ans:

Decision rule:

If p-value<=alpha,we Reject null hypothesis.

if p-value>alpha,we Fail to reject null hypothesis.

Now,in above case,at alpha=0.05,you are Rejecting null hypothesis,it means that p-value is less than 0.05.

So,at alpha=0.1 also,p-value will be less than 0.1,you will Reject null hypothesis at alpha=0.1

But at alpha=0.01,we do not know about p-value,whether it is greater than 0.01 or smaller than 0.01,we just know that p-value is less than 0.05,hence less than 0.1.So,we do not have enough information to say.

So,correct answer will be :

At alpha=0.1:

Reject the null hypothesis.

At alpha=0.01:

Do not have enough information to say.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.