A Rutgers University professor claims that there is no significant difference be

Question

A Rutgers University professor claims that there is no significant difference between proportion of female (f) and male students (m) of the university who 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 = 2%.

A. Reject H0. There is a significant difference.

B. Reject H0. There is no significant difference.

C. Fail to reject H0. There is a significant difference.

D. Fail to reject H0. There is no significant difference.

A. Reject H0. There is a significant difference.

B. Reject H0. There is no significant difference.

C. Fail to reject H0. There is a significant difference.

D. Fail to reject H0. There is no significant difference.

Explanation / Answer

if Z = 3.42 we will find the probability for that value of Z in the tables of Z distribution

for Z = 3.42 p value is 0.00001

for alpha = 0.02

alpha / 2 = 0.01

so as you can see p value is lower than alpha /2 so we reject Ho

A. Reject H0. There is a significant difference.

A. Reject H0. There is a significant difference.

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