Up Next (6 pts) A new cream that advertises that it can reduce wrinkles and impr

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Up Next (6 pts) A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 54 women over the age of 50 used the new cream for 6 months. Of those 54 is this evidence that the cream will improve the skin or more than 60% of women over the age of 50? Test using ? 05 women. 46 of them reported skin improvement(as Judged by a dermatologist (a) Test statistic: z = (b) Critical Value: z- (c) The final conclusion is There s not su cent evidence to re ec We can reject the null hypothesis that p A ne nul. hypothess that That s there s not su cen evidence to re that the cream can mpro et es an, o more th n % women over 0 O B 0.6 and accept that p > .6 That is the cream can improve the skin of more than 60% of women overs Note: You can earn partial credit on this problem Preview Answers Submit Answers You have attempted this problem 0 times. You have 2 attempts remaining. Email instructor Page generated at 07/27/2018 at 01:13pm CDT WeBWorK 1996-2014 theme: math4 Iww version: 2.9 pg version: 2.9 The WeBWorK Project

Explanation / Answer

a) p = 46/54 = 0.852

The test statistic z = (p - P)/sqrt(P(1 - P)/n)

                             = (0.852 - 0.6)/sqrt(0.6 * 0.4/54)

                             = 3.78

b) At alpha = 0.05, the critical value is z* = 1.645

c) As the test statistic value is greater than the critical value value (3.78 > 1.645), we should reject H0.

Option - B) We can reject the null hypothesis that p = 0.6 and accept taht p > 0.6 . That is the cream can improve the skin of more than 60% of women over 50.

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