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Asked by Andrea Noriega on Jun 26, 2024

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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.
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Calculate the standard error 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. __________________________________________ .
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Calculate the value of the test statistic.
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Calculate the p-value and write your conclusion given that 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. __________________________________________ = 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 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. __________________________________________ = 0.05.
__________________________________________

Pooled Estimate

A method in statistics used to combine different estimates of the same parameter to find a single, more precise estimate.

Standard Error

A statistical measure of the variance or standard deviation of a sample mean, indicating the precision with which a sample represents a population.

  • Compute and elucidate the combined proportion estimate in hypothesis analysis.
  • Develop and elucidate 95% confidence intervals for the disparity between two proportions.
  • Utilize hypothesis testing for practical cases concerning two population proportions.
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fulya mermerJul 01, 2024
Final Answer :
0.84; 0.02898; 1.51; 0.131; Do not reject H0; The proportions of households are the same; (-0.00892, 0.09642); Since the hypothesized difference 0 is included in the confidence interval, H0 should not be rejected.

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