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In: Statistics and Probability

An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential...

An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 331 people living in East Vancouver and finds that 33 have recently had the flu. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of East Vancouver residents who have recently had the flu. A. 9.97% (33/331) of East Vancouver residents have recently had the flu. B. There is a 95% probability that the true proportion of East Vancouver residents who have recently had the flu equals 33/331. C. If another random sample of 331 East Vancouver residents is drawn, there is a 95% probability that the sample proportion of East Vancouver residents who have recently had the flu equals 33/331. D. If many random samples of 331 East Vancouver residents are drawn, 95% of the resulting confidence intervals will contain the value of the true proportion of East Vancouver residents who have recently had the flu. E. If many random samples of 331 East Vancouver residents are drawn, 95% of the resulting confidence intervals will contain the value 33/331.

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Expert Solution

Correct Interpretation of 95% CI :- About 95% of all the studies which will be conducted using given procedure, the confidence interval will contain the true population proportion.

A. 9.97% (33/331) of East Vancouver residents have recently had the flu.FALSE

B. There is a 95% probability that the true proportion of East Vancouver residents who have recently had the flu equals 33/331. FALSE

C. If another random sample of 331 East Vancouver residents is drawn, there is a 95% probability that the sample proportion of East Vancouver residents who have recently had the flu equals 33/331.   FALSE

D. If many random samples of 331 East Vancouver residents are drawn, 95% of the resulting confidence intervals will contain the value of the true proportion of East Vancouver residents who have recently had the flu. TRUE

E. If many random samples of 331 East Vancouver residents are drawn, 95% of the resulting confidence intervals will contain the value 33/331. TRUE

orchestra answered 2 years ago
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