Construct the indicated confidence interval for the difference between populatio

Question

Construct the indicated confidence interval for the difference between population proportions 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. -0.0177 < p1 - p2 < 0.1243

b. -0.0443 < p1 - p2 < 0.0976

c. 0.0247 < p1 - p2 < 0.0286

d. -0.0034 < p1 - p2 < 0.0566

Explanation / Answer

H0: p1 = p2. H1: p1 ? p2. claim Test statistic: z = 0.97. P-value: .332 Fail to reject the null hypothesis. There is not sufficient evidence to support the claim, that the recognition rate in New York differs from the the recognition rate in California.

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