A random sample of 1,260 adults living inNew York citywas asked (among other things) to name their favorite sports (to watch). Of the 670 females in the survey, 375 indicated that baseball was their favorite sport. Of the 590 males in the survey, 230 named baseball as their favorite sport.

(a) Use these data to find a 90% confidence interval for p_F p_M, the difference in the proportion of all females and all males inNew York cityfavoring baseball.

(b) Interpret your interval.

(c) Verify that the success/failure conditions are met.

(d) Does your interval in Part (a) provide evidence that p_F and p_M are equal?