Question

In a survey, 24% of 230 single women said that they "definitely want to get married." In the same survey, 22% of 270 single men gave the response. Construct a 99% confidence interval estimate of the difference between the proportions of single women and single men who definitely want to get married. Is there a gender gap?

1. Construct a 95% confidence interval estimate.

___ < p1 - p2 < ___ (Round to three decimal places as needed)

2. Is there a gender gap?

Answer 1

Solution:-

99% confidence interval estimate of the difference between the proportions of single women and single men who definitely want to get married is C.I = (- 0.0773, 0.1173).

?

C.I = 0.24 - 0.22 + 2.576 × 0.03776

C.I = 0.02 + 0.09726

C.I = (- 0.0773, 0.1173)

No, there is not a gender gap because 0 is cotained in the confidence interval.

1) 95% confidence interval estimate is C.I = (- 0.0540, 0.09401).

?

C.I = 0.24 - 0.22 + 1.96 × 0.03776

C.I = 0.02 + 0.07401

C.I = (- 0.0540, 0.09401)

2) No, there is not a gender gap because 0 is cotained in the confidence interval.