12 A joint USA Today/CNN/Gallup Poll in July 1995 indicated that of 832 white adults. 53% thought affirmative action has heen good for the country and 37% thought it had not been good: the remaining 10% were undecided. Let denote the population proportion of white adults who believe that affirmative action has been good for the country

a) Test H.50 against H, .50. Report the P-value, and interpret.

b) Can you reject Ho using or 05? Indicate whether you can conclude that a majority or minority of the population think affirmative action has been good.

c) Construct a 95% confidence interval for . Explain how this provides greater infor- mation than the conclusion of the test in (b).

d) The same poll also interviewed 299 black adults. Of them. 66% thought that affir- mative action had been good and 23% thought it had not been good Conduct statistical inference for black adults.