Suppose 39 women used a skin cream for 22 weeks. At the end of the period, a der

Question

Suppose 39 women used a skin cream for 22 weeks. At the end of the period, a dermatologist judged whether each woman exhibited skin improvement. The results are shown to the right (where I = improved skin and N = no improvement). Complete parts a and b. Do the data provide sufficient evidence to conclude that the cream will improve the skin of more than 50% of women? Test using alpha = 0.10. What are the hypotheses for this test? H_0: p = 0.50; H_a: p 0.50 H_0: p = 0.50; H_a: p notequalto 0.50 Find the rejection region for the test. Choose the correct answer below. z >1.645 z > 1.28 z

Explanation / Answer

1. Hypotheses-c) It is asked to test whether the use of skin cream will improve the skin for more than 50% women.

2. Rejection region: b) for right tialed test, z>1.28

3) Z=(Ps-Pu)/sqrt[Pu(1-Pu)/N]

=(0.54-0.50)/sqrt[(0.50*0.50)/39]

=0.50

4) Conclusion-d) test statistic do not fall in critical region.

5) p value:0.3085

conclusion d)

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