A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 58 women over the age of 50 used the new cream for 6 months. Of those 58 women, 50 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=0.01. test statistics z= rejection region z> The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that p=0.5. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 50% of women over 50. B. We can reject the null hypothesis that ?=0.5p=0.5 and accept that p>0.5. That is, the cream can improve the skin of more than 50% of women over 50.
A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 58 women over the age of 50 used the new cream for 6 months. Of those 58 women, 50 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=0.01.
test statistics z=
rejection region z>
The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that p=0.5. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 50% of women over 50.
B. We can reject the null hypothesis that ?=0.5p=0.5 and accept that p>0.5. That is, the cream can improve the skin of more than 50% of women over 50.
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