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Previous Problem ListNext (1 point) 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, 33 of them reportecd skin improvement(as judged by a ofwomen over the age of 50? Test using 0.05. dermatologist), s this evidence that the cream will improve the skin of more than (a) Test statistic: z (b) Critical Value: zo (c) The decision and final conclusion are O A. We can reject the null hypothesis that p s 0.6 and support the dlaim that p> 0.6. That is, the cream can improve the skn of more than 60% of women over 50. OB. There is not sufficient evidence to reject the null hypothesis that p s 0.6. That is, we cannot support the claim that the cream can improve the skin of more than 60% of women over 50. Note: You can earn partial credit on this probiem Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining. ause prt scdele O/ 67 8 9 0

Explanation / Answer

pcap = 33/49 = 0.6735

Below are the null and alternate hypothesis
H0: p <= 0.6
H1: p > 0.6

SE = sqrt(0.6 * 0.4/49) = 0.07

a)
Test statistics,
z = (0.6735 - 0.6)/0.07 = 1.05

b)
For significance level of 0.05, critical value of z is 1.65

c)
p-value = 0.1469
Fail to reject the null hypothesis (Option B)

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