Develop the indicated confidence interval for the difference between population proportions P-1, P-2 Assume that the samples are independent and that they have been randomly selected.
A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference between the two population proportions.
a. -0.0443 < p1 - p2 < 0.0976
b. 0.0247 < p1 - p2 < 0.0286
c. -0.0034 < p1 - p2 < 0.0566
d. -0.0177 < p1 - p2 < 0.1243