In the survey on which Table D.12 of the Data Bank is based, a large number of persons was each asked "Is it preferable to have 1% of your monthly charges donated to a charity of your choice rather than credited back to your account?" The full sample, larger than that in Table D.12, yielded the summary statistics for the number of yes responses.

(a) Do the data provide evidence that females are more willing than males to donate to charity, in terms of having a larger proportion that would say "yes" to the question? Test with α = .05.
(b) Obtain a 95% confidence interval for the difference in population proportions.

Transcribed Image Text:

Gender Pi Female48 195 2462 Male 52 294 1769