Question

Use the sample date and confidence level given below to complete parts a) through (d) Arch Institute poldrespondents they folt vulnerable to identity that in the poll 930 and X 557 who said. "Use a confidence love Click the icon to view a table of com and the best point estimate of the population proportion Round to three decimal places as needed by lotil the value of the margin of more Round to the decimal places as needed) e Construct the confidence Weal Round to the decimal places and 4) Write a me that correctly interpret the concentral Choose the correct answer below O A One has 30% cotone that the worval from the lower bound to the per bound by dos contain the true value of the population proportion O. There is a chance that the be value of the population proportion will be the lower bound and the per bound OC. Ora confidence that the same proportion is equal to the population proportion ODOS of sample proportions will be the lower bound and the per bound.

Answer 1

$Sample \: proportion\: \hat{p}=\frac{x}{n} = \frac{557}{939} = 0.593$

Ans a) The best estimate of population proportion p: 0.593

Explanation: Sample proportion is the best estimate of population proportion p.

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Ans b) E = 0.026

Explanation:

Critical value at 90% confidence interval is:

/* we can find it using excel function: =NORM.S.INV(0.1/2) */

$Margin\: of\: error\: E = z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

$= 1.645\sqrt{\frac{0.593(1-0.593)}{939}}$

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Ans c)

Explanation:

Lower Bound: 0.593 - 0.026 = 0.567

Upper Bound: 0.593 + 0.026 = 0.619

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Ans d) B) There is 90% chance that the true value of the population proportion will between the lower bound and upper bound.