A marketing survey involves product recognition in New York and California. Of 205 New Yorkers surveyed, 50 knew the product while 78 out of 295 Californians knew the product. At the $2.5%$ significance level, use the critical value method to test the claim that the recognition rates are different in the states. Enter the smallest critical value. (Round your answer to nearest hundredth.)

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A marketing survey involves product recognition in New York and California. Of 205 New Yorkers surveyed, 50 knew the product while 78 out of 295 Californians knew the product. At the

2.5%

significance level, use the critical value method to test the claim that the recognition rates are different in the states. Enter the smallest critical value. (Round your answer to nearest hundredth.)

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