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= Question Help The table to the right shows the results of a survey in which 40

ID: 3325617 • Letter: #

Question

= Question Help The table to the right shows the results of a survey in which 400 adults from the the Mdwest, and 400 adults trom the West were asked f traic congestion is a serious problem Complote parts (a) and (b) East East, 400 aults trom e South,400 a s fiom Adults who say that trafific congestion is a serious problem 36% South Mdwest West a 90% confidenoe interval ftor the proportion of adults from the East who say traffic congestion is a serious problem corfisence inherval or the proportion of aults from the East who say tofic congestion wrios protemisCN (Round to three decimal places as needed)

Explanation / Answer

Solution:- by given table East = 36% => p = 0.36 , q = 1-p = 1-0.36 = 0.64

99% confidence level for Z = 2.575

a) => p +/- Z * sqrt(pq/n) = 0.36 +/- 2.575*sqrt(0.36*0.64/400)

= (0.36 - 2.575*sqrt(0.36*0.64/400 , 0.36 + 2.575*sqrt(0.36*0.64/400)

= (0.298 , 0.422)

The 99% confidence interval for the proportion of adults from the East who say traffic congestion is serious problem is (0.298 , 0.422).

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