In hypothesis testing, we can reject a. the null hypothesis. b. the alternative hypothesis. c. both...

In hypothesis testing, we can reject

a. the null hypothesis.

b. the alternative hypothesis.

c. both the null and the alternative hypotheses.

d. neither the null and the alternative hypotheses.

Expert Solution

Answer: a. the null hypothesis

Reason: In hypothesis testing , we make an assumption that the null hypothesis is true and then with the given sample data , we try to test this claim. By using the p- value approach or the critical value approach we are able to determine if the null hypothesis is to be rejected or not. Hence we make a decision to Reject the null hypothesis or to Fail to Reject the null hypothesis at a particular level of significance. Hence we are always testing the null hypothesis since that is considered to be true and is the claim. We cannot reject or accept the null and alternate hypothesis simultaneously as they are opposite of the one other.

For instance -

Null hypothesis states the average IQ of students in class is 105.

Alternate hypothesis states the average IQ of students is not 105.

On carrying out hypothesis testing, we have only 2 choices - Reject the null hypothesis , so the average IQ is not 105.

OR Fail to reject the Null hypothesis, so the average IQ is 105.

Rejecting / Accepting both null and alternate hypothesis is not possible as this won't make any sense as only one of them can be true.

orchestra answered 2 years ago

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