The table below shows the relationship of gender to the attitude that men are better suited for work and women are better suited for staying home. Note: Use these formulas as references when answering the questions below.
Sp = ∑− P(1-P) / N
95%CI = P ± 1.96 ⋅ Sp
RESPONDENTS SEX * men work, women home Crosstabulation
men work, women home Total
Agree Disagree
MALE Count 236 367 603
% within RESPONDENTS SEX 39.1% 60.9% 100.0%
RESPONDENTS SEX
FEMALE Count 275 540 815
% within RESPONDENTS SEX 33.7% 66.3% 100.0%
Total Count 511 907 1418
% within RESPONDENTS SEX 36.0% 64.0% 100.0%
(a) The dependent variable measures attitudes about whether it is better for men to work and for women to stay at home (agree/disagree). Using the formula for Sp above, please identify the values of P (i.e., proportion) and the N that you would include when computing the value of Sp for the 95% confidence interval for male agreement.
(b) Suppose the value of 1.96 ⋅ Sp calculated for male agreement is .02. Using the equation above, what would be the 95% confidence interval for male agreement?
(c) What inference can we make about men's agreement with this attitudinal statement based on the 95% confidence interval you estimated in b. above (i.e., what does the 95% confidence interval indicate)?