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 682 New Yorkers surveyed, 218 knew the product while 192 out of 518 Californians knew the product. Calculate the point estimates for both populations, the pooled sample, and the complement of the pooled sample. At the 0.05 significance level, test the claim that the recognition rates are the same in both states. Include your null and alternative hypotheses, the critical values, test statistic, P-value, conclusion about the null hypothesis, and an overall conclusion about the claim in your answer.  Draw the z distribution.  Construct a 95% confidence interval estimate of the difference between the two population proportions.

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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 682 New Yorkers surveyed, 218 knew the product while 192 out of 518 Californians knew the product. Calculate the point estimates for both populations, the pooled sample, and the complement of the pooled sample. At the 0.05 significance level, test the claim that the recognition rates are the same in both states. Include your null and alternative hypotheses, the critical values, test statistic, P-value, conclusion about the null hypothesis, and an overall conclusion about the claim in your answer.  Draw the z distribution.  Construct a 95% confidence interval estimate of the difference between the two population proportions. 

Expert Solution
Step 1

For the sampled information from New York:

The sample size, n1=682.

The no. of sampled people in New York, who knew the product, x1=218.

For the sampled information from California:

The sample size, n2=518.

The no. of sampled people in California, who knew the product, x2=192.

 

 

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