A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 62 women over the age of 50 used the new cream for 6 months. Of those 62 women, 36 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=0.01
(a) Test statistic: z=
(b) Critical Value: z=