Question

In: Statistics and Probability

QUESTION 39 "A Rutgers University professor claims that 55% of male students of the university exercise...

QUESTION 39

  1. "A Rutgers University professor claims that 55% of male students of the university exercise at least 15 minutes a day. What would be a proper conclusion if he collects data, conducts hypothesis test, and finds Z=-3.42. Use alpha = 2%."

Reject H0. Professor's claim is not valid.

Reject H0. Professor's claim is valid.

Fail to reject H0. Professor's claim is not valid.

Fail to reject H0. Professor's claim is valid.

Solutions

Expert Solution

We have , the hypothesis is ,

Hypothesis : VS  

Here , the test is two-tailed test.

The critical value is ,

;  From standard normal distribution table

.

Decision : Here , the value of the test statistic lies in the rejection region.

Therefore , reject Ho,

Conclusion : Hence , there is not sufficient evidence to suport the claim that the 55% of male students of the university exercise at least 15 minutes a day


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