Problem: 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 22 said yes, 17 said no. Do the data provide sufficient evidence to conclude that the cream will improve the skin of more than 50% of women? Test using a=0.10

Question 1:

a.  H0: p=0.50; Ha: p>0.50

b. H0: p= 0.50; Ha: p<0.50

c. H0: p≠0.50; Ha: p=0.50

d. H0: p=0.50; Ha: p≠0.50

Question 2: Find the rejection region

a. z<1.645

b. z < -1.28 or z > 1.28

c. z > 1.28

d. z > 1.645

e. z < -1.645 or z> 1.645

f. z < 1.28

Question 3: Find the z-value of the test

Question 4: find the p-value of the test