Question

A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 64 women over the age of 50 used the new cream for 6 months. Of those 64 women, 33 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 50% of women over the age of 50? Test using α=0.05

test statistics z=

rejection region z>

The final conclustion is

A. There is not sufficient evidence to reject the null hypothesis that p=0.5p=0.5. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 5050% of women over 50.
B. We can reject the null hypothesis that p=0.5p=0.5 and accept that p>0.5p>0.5. That is, the cream can improve the skin of more than 5050% of women over 50.

Answer 1