A cable company in Michigan is thinking of offering its service in one of two counties; Mecosta and Newaygo. Allegedly, the proportion of households in either county ready to hook up to the cable is the same, but the company wants to test the claim. Accordingly, it takes a simple random sample in each county. In Mecosta county, 175 of 2900 households say they will join. In Newaygo county, 665 of 800 households say so.
Calculate the pooled estimate of the common proportion p.
______________
Calculate the standard error of .
______________
Calculate the value of the test statistic.
______________
Calculate the p-value and write your conclusion given that = 0.05.
______________
Conclusion: ______________
Interpretation: __________________________________________
Construct 95% confidence interval for the difference in proportions of households in Mecosta and Newaygo counties who are ready to hook up to the cable.
______________
Explain how to use the 95% confidence interval to test the appropriate hypotheses at = 0.05.
__________________________________________

Question

A cable company in Michigan is thinking of offering its service in one of two counties; Mecosta and Newaygo. Allegedly, the proportion of households in either county ready to hook up to the cable is the same, but the company wants to test the claim. Accordingly, it takes a simple random sample in each county. In Mecosta county, 175 of 2900 households say they will join. In Newaygo county, 665 of 800 households say so.
Calculate the pooled estimate of the common proportion p.
______________
Calculate the standard error of  .
______________
Calculate the value of the test statistic.
______________
Calculate the p-value and write your conclusion given that  = 0.05.
______________
Conclusion: ______________
Interpretation: __________________________________________
Construct 95% confidence interval for the difference in proportions of households in Mecosta and Newaygo counties who are ready to hook up to the cable.
______________
Explain how to use the 95% confidence interval to test the appropriate hypotheses at  = 0.05.
__________________________________________

Quizplus · Accepted Answer

The Answer of A cable company in Michigan is thinking of offering its service in one of two counties; Mecosta and Newaygo. Allegedly, the proportion of households in either county ready to hook up to the cable is the same, but the company wants to test the claim. Accordingly, it takes a simple random sample in each county. In Mecosta county, 175 of 2900 households say they will join. In Newaygo county, 665 of 800 households say so.
Calculate the pooled estimate of the common proportion p.
______________
Calculate the standard error of  .
______________
Calculate the value of the test statistic.
______________
Calculate the p-value and write your conclusion given that  = 0.05.
______________
Conclusion: ______________
Interpretation: __________________________________________
Construct 95% confidence interval for the difference in proportions of households in Mecosta and Newaygo counties who are ready to hook up to the cable.
______________
Explain how to use the 95% confidence interval to test the appropriate hypotheses at  = 0.05.
__________________________________________

A Cable Company in Michigan Is Thinking of Offering Its