A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 49 women over the age of 50 used the new cream for 6 months. Of those 49 women, 44 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 40% 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. There is not sufficient evidence to reject the null hypothesis that p=0.4. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than40% of women over 50. B. We can reject the null hypothesis that p=0.4 and accept that p>0.4. That is, the cream can improve the skin of more than 40%
A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 49 women over the age of 50 used the new cream for 6 months. Of those 49 women, 44 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 40% 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. There is not sufficient evidence to reject the null hypothesis that p=0.4. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than40% of women over 50.
B. We can reject the null hypothesis that p=0.4 and accept that p>0.4. That is, the cream can improve the skin of more than 40% of women over 50.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
