In a specific year, 52% of men (sample 1) in the United States were married and 49% of women (sample 2) were married. Random samples of 200 men and 200 women found that 118 men and 98 women were married (not necessarily to each other).

A.At = 0.05, can it be concluded that the proportion of men who were married is different than the proportion of women who were married?

a) State the hypotheses and identify the claim with the correct hypothesis.

1.

H₀: p₁= p₂

H₁: p₁< p₂(claim)

2.

H₀: p₁= p₂

H₁: p₁ p₂(claim)

3.

H₀: p₁= p₂

H₁: p₁> p₂(claim)

4.

H₀: p₁= p₂(claim)

H₁: p₁> p₂

b) Find the critical value (s).

1. CV = 1.96

2. CV = 2.33

3. CV= -2.58

4.CV= 1.65

c) Compute the test value:

1. TV = 1.806

2. TV = 1.996

3. TV = 2.006

4. TV = 2.856

d) Make the decision.

1. Reject the null hypothesis.

2.Do not reject the null hypothesis.

e) Summarize the results.

1. There is not enough evidence to support the claim.

2.There is enough evidence to support the claim.

B. Find the 95% confidence interval for the difference between the two proportions.

1. 0.003 < P < 0.197

2. 0.015 < P < 0.215

3. 0.005 < P < 0.195

4. 0.018 < P < 0.182