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Broome county’s health department hires you to analyze data on COVID-19. They come to you with...

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Broome county’s health department hires you to analyze data onCOVID-19. They come to you with data from your county’s localhospitals, and tell you that they have randomly tested 147 peopleshowing symptoms of coronavirus. Results showed that 68 of thosewere positive for the virus. They are worried about running out ofroom in their hospitals, so they want you to estimate the trueproportion of people with the virus.

The county officials are saying that based on initial resultsthey believe about 46.3% of their county could have COVID-19.Explain to them why this is incorrect by defining the pointestimate in this scenario and the parameter it is estimating.

a. Give an estimate for the parameter in the form of a 90%confidence interval.

b. The county now wants a 90% confidence interval for theparameter with a margin of error of 0.05. How many total peoplewill have to be tested before that can be achieved?

c. A neighboring county, Tioga, has 21 confirmed cased of the 55that were tested in their hospitals similarly to how Broome countywas sampled and tested. Estimate the true difference in proportionsfor these two counties using a 90% confidence interval.

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