A Cable Company in Michigan Is Thinking of Offering Its

question 60

Essay

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 .
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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 = 0.05.
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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.
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Explain how to use the 95% confidence interval to test the appropriate hypotheses at = 0.05.
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Definitions:

Cable TV

A system that delivers television programming to viewers via radio frequency signals transmitted through coaxial cables or digital light pulses through fiber-optic cables.

Coaxial Cable

A type of electrical cable consisting of a central conductor surrounded by an insulating layer and an outer conducting shield, used for the transmission of high-frequency signals.

Home Telephone Service

A service providing wired phone connectivity to a residence that allows individuals to make and receive calls.

Network Type

Refers to the different categories or architectures of networks, such as LAN (Local Area Network), WAN (Wide Area Network), etc.