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 336 people living in East Vancouver and finds that 38 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(THESE ARE TRUE OR FALSE). A. 11.31% (38/336) 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 38/336. C. If another random sample of 336 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 38/336. D. If many random samples of 336 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 336 East Vancouver residents are drawn, 95% of the resulting confidence intervals will contain the value 38/336.
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Refer to the following scenario. True or false scenarios.
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 336 people living in East Vancouver and finds that 38 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(THESE ARE TRUE OR FALSE).
A. 11.31% (38/336) 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 38/336.
C. If another random sample of 336 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 38/336.
D. If many random samples of 336 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 336 East Vancouver residents are drawn, 95% of the resulting confidence intervals will contain the value 38/336.
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