Question

1. A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 65 women over the age of 50 used the new cream for 6 months. Of those 65 women, 34 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 60% of women over the age of 50? Test using α=0.05

(a) Test statistic: z=

(b) Critical Value: z∗=

(c) The final conclusion is

A. We can reject the null hypothesis that p=0.6 and accept that p>0.6. That is, the cream can improve the skin of more than 60% of women over 50.

B. There is not sufficient evidence to reject the null hypothesis that p=0.6. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 60% of women over 50. .

Answer 1