In a specific year 53.7% of men (sample 1) in the United States were married and 50.3% of women (sample 2) were married.

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In a specific year 53.7% of men (sample 1) in the United States
were married and 50.3% of women (sample 2) were married. Random
samples of 300 men and 300 women found that 174 men and 138 women
were married (not necessarily to each other). At the 0.01 level of
significance, can it be concluded that the proportion of men who
were married is greater than the proportion of women who were
married?
a) State the hypotheses and identify the claim with the correct
hypothesis.
1.
H0:p1 ≤
p2 Not claim
H1:p1 >p2 claim
2.
H0:p1 =p2 Not claim
H1:p1 ≠p2 claim
3.
H0:p1 ≥
p2 Not claim
H1:p1 2 claim
b) Find the critical value (s).
1. CV=1.65
2. CV=2.33
3. CV= -2.58
c) Compute the test value:
1. z=2.38
2. z=2.94
3. z= 2.52
d) Make the decision.
1. Reject the null hypothesis.
2.Do not reject the null hypothesis.
e) Summarize the results.
1. There is enough evidence to support the claim.
2.There is not enough evidence to support the claim.