A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 46 women over the age of 50 used the new cream for 6 months. Of those 46 women, 37 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 than 40% 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
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A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 46 women over the age of 50 used the new
cream for 6 months. Of those 46 women, 37 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 than 40% 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.
Transcribed Image Text:A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 46 women over the age of 50 used the new cream for 6 months. Of those 46 women, 37 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 than 40% 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.
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