Question

Fill in the blanks using the following choices: reject, fail to reject, sufficient, enough, not sufficient, not enough If the p value is 0.32 to test if there is a difference exists between the proportion of students who have ear infections at one school and the other, your decision is to the null and the conclusion: There is evidence to support the alternative that the proportion of students who have ear infections at one school and the other are different.

Answer 1

FAIL TO REJECT

NOT ENOUGH

Explanation:

Given a Pvalue of 0.32

Decision region :

When Pvalue < α ; Reject the Null and conclude that there is significant or enough evidence to accept the alternative hypothesis.

Otherwise, fail to reject reject the null and conclude that, there is not enough evidence to accept the alternative hypothesis

Therefore, for the scenario above, where Pvalue = 0.32

Possible α values are ; 0.1, 0.05, 0.01

For all α - values listed, the Pvalue is greater than α

Pvalue > α ; Hence, FAIL TO REJECT the Null.

Conclusion :

There is NOT ENOUGH evidence to support the alternative that the proportion of students who have ear infection at one school and the other is different.