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. Round to 4 decimal places.



a. 0.0247 < p1-p2 < 0.0286

b. -0.0034 < p1-p2 < 0.0566

c. -0.0443
d. -0.0177