I need to verify to see if I did this problem right

10. Test the given hypothesis. Assumes 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. At the 0.05 significance level, test the claim that the recognition rates are the same in both states. P , - P2 ) - (P1 - P2) = p q p q + n2