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Submit Q Time Remaining: 01:26:16 Quiz: Week 7 Quiz | > This Quiz: 60 pts poss 15 of 19 (2 complete) This Question: 4 pts shows the results of a survey in which 400 aduits from the Adults who say that traffic congestion East 400 adults from the South, 400 adults frem the Midwest, and 400 adults from the West were asked if traffic congestion is a serious problem. Complete parts (a) East and (b) South Midwest West is a serious problem 36% 33% 25% 54% (a) Construct a 99% confidence interval for the proportion of adults from the South who say traffic congestion s a serious problem The 9 % confidence interval for the proportion of adults from the South who say trafic congestion is a serious problem s (Round to three decimal places as needed.) e) Construct a 99% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem Is it possible that these two proportions are equal? Explain your reasoning confidence interval for the proportion of aduits from the East who say traffic congestion is a serious problem is Round to three decimal places as needed ) Is t possible that these two proportions are equal? No, because the 99% confidence terval for the South does not overlap with the 99% con idence interval forteEast O Yes, because the 99% confidence interval for the South overlaps with the 99% confidence interval for the East Click to select your answerls). ype here to sear

Explanation / Answer

Solution:- 99% confidence interval for Z = 2.575
a) n = 400 , p = 33% = 0.33, q = 1 - p = 1 - 0.33 = 0.67
=> P +/- Z * sqrt(pq/n)
= 0.33 +/- 2.575 * sqrt(0.33*0.67/400)
= (0.269 , 0.391)
The 99% confidence interval for the porportion of adults from the south who say traffic congestion is a serious problem is (0.269 , 0.391)

b) n = 400 , p = 36% = 0.36, q = 1 - p = 1 - 0.36 = 0.64
=> P +/- Z * sqrt(pq/n)
= 0.36 +/- 2.575 * sqrt(0.36*0.64/400)
= (0.298 , 0.422)
The 99% confidence interval for the porportion of adults from the south who say traffic congestion is a serious problem is (0.298 , 0.422)

c) option A.

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