This Test: 46 pts Question He A poll asked for people\'s opinion on whether clos

Question

This Test: 46 pts Question He A poll asked for people's opinion on whether closing local newspapers would hurt chic ite: 425 of 10085 respondens said t would hurt civic lile a lot Complete parts a through d below a. Find the proportion of the respondents who said that closing local papers would hurt civic life a lot (Round to three decimal places as needed) b. Find a 95% confide e interval or the pop lation proportion who bele ed??sing re sampling, but a more complex method than SRS.) papers would hurt che lte a lot Assume the pot used sme an o same as n te t ed (Round to three decimal places as needed.) c. Find an 80% confidenco nervalor the population proportion who beloved closing newspapers would hurt cvic Mo a lot Found to three decimal places as neoded.) d. Which interval is wider and why OA. The 80% interval is wider. Toget a higher degree of certainty, the interval needs to be widened. OB. The 95% interval is wider. To get a higher degree of certainty, the interval needs to be widenedjust one ion sde. 0 C, Tho 95% interval is wider. To get a higher degree of certainty, the interval needs to be widened OD. The gg% interval is wider. To get a higher degree ot certainty, the interval needs to be wdredjust on re 'on side

Explanation / Answer

solution:-
a. p^ = x / n = 425 / 1005
= 0.423

b. 95% confidence for z is 1.96
formula
=> p^ +/- z * sqrt((p*q)/n)
=> 0.423 +/- 1.96 * sqrt((0.423*0.577)/1005)
=> (0.392 , 0.454)

c. 80% confidence for z is 1.28
=> 0.423 +/- 1.28 * sqrt((0.423 * 0.577)/1005)
=> (0.403 , 0.443)

d. option C.
The 95% interval is wider. To get a higher degree of certainty, the interval needs to be widened

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