An epidemiologist is worried about the prevalence of the flu inEast Vancouver and the potential shortage of vaccines for the area.She will need to provide a recommendation for how to allocate thevaccines appropriately across the city. She takes a simple randomsample of 333 people living in East Vancouver and finds that 36have recently had the flu.

For each of the following statements, specify whether thestatement is a correct interpretation of the 95% confidenceinterval for the true proportion of East Vancouver residents whohave recently had the flu.

A. 10.81% (36/333) of East Vancouver residentshave recently had the flu. true/ false

B. There is a 95% probability that the trueproportion of East Vancouver residents who have recently had theflu equals 36/333. true/false

C. If another random sample of 333 EastVancouver residents is drawn, there is a 95% probability that thesample proportion of East Vancouver residents who have recently hadthe flu equals 36/333. true/false

D. If many random samples of 333 East Vancouverresidents are drawn, 95% of the resulting confidence intervals willcontain the value of the true proportion of East Vancouverresidents who have recently had the flu.true/false

E. If many random samples of 333 East Vancouverresidents are drawn, 95% of the resulting confidence intervals willcontain the value 36/333. true/false

Part 2

An epidemiologist is worried about the prevalence of the flu inEast Vancouver and the potential shortage of vaccines for the area.She will need to provide a recommendation for how to allocate thevaccines appropriately across the city. She takes a simple randomsample of 340 people living in East Vancouver and finds that 33have recently had the flu.

Suppose that the epidemiologist wants to re-estimate thepopulation proportion and wishes for her 95% confidence interval tohave a margin of error no larger than 0.04. How large a sampleshould she take to achieve this? Please carry answers to at leastsix decimal places in intermediate steps.

Sample Size =