Question

stl Qui. Page Wyor 2012. QUIZ#9 Estimating Population Parameters This Question: 1 pt 4 of 25 (3 complete) 1 04/05/20 7:16 PM hout Submit Quiz This Quiz: 25 pts possible Determine the point estimate of the population proportion, the margin of error for the folowing confidence interve and the number of individuals in the same with the specified characteristic, x, for the sample size provided. Lower bound 0.240, upper bound 0.530, n=1000 The point estimate of the population proportion is (Round to the nearest thousandth as needed.) The margin of error is (Round to the nearest thousandth as needed.) The number of individuals in the sample with the specified characteristics (Round to the nearest Integer as needed.) Enter your answer in each of the answer boxes,

Answer 1

Solution

$\mathbf{given:}\;Lower\;Bound=0.240,\;Upper\;bound=0.530,\;n=1000$

Upper Bound + Lower Bound sample proportion () =

$sample\;proportion\;(\hat p)=\frac{0.530+0.240}{2}=\mathbf{{\color{Red} 0.385}}$

The point estimate of the population proportion is $\mathbf{{\color{Red} 0.385}}$

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Upper Bound - Lower Bound Margin of error (E) =

$Margin\;of\;error\;(E)=\frac{0.530-0.240}{2}=\mathbf{{\color{Red} 0.145}}$

The margin of error is $\mathbf{{\color{Red} 0.145}}$

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$\mathbf{\hat p=\frac{x}{n} \Rightarrow x=\hat p*n=0.385*1000={\color{Red} 385}\;students}$

The number of individuals in the sample with the specified characteristic is $\mathbf{{\color{Red} 385}}$