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Question

From a survey of coworkers, you find that $48 \%$ of 200 have already received this year's flu vaccine. An approximate $95 \%$ confidence interval is $(0.409,0.551)$. Is the following true? If not, describe briefly.

e) We are $95 \%$ confident that between $40.9 \%$ and $55.1 \%$ of the samples will have a proportion near $48 \%$.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

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1 of 2We were given the approximate $95\%$ confidence interval $(0.409,0.551)$ about the proportion of workers who received this year's flu vaccine. This is from the point estimate of $48\%$ of $200$ from a survey of coworkers.

We were asked if the statement, "We are $95\%$ confident that between $40.9\%$ and $55.1\%$ of the samples will have a proportion near $48\%$" is true.

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