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Question Help Apast survey of 1,0 8,000 students takrg a standarde dtest revealed that 9 9% of the st dents were plan gons dying enne n gncle In a recents r ey of 1,476 000 students taking the SAT 9.2% of the students were plan ng tosh dy engreering Construct a95% cor fidence interval diference between prop torsp, p2byusigte following inequality. Assune the samples are random and independent for the 19 P292 P1 -P2)7 The cortidence interval is[]<p (Round to three decimal places as needed.)
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Answer #1

Here,

i0.099, n1-1068000, p rl 0.092, n2 1476000

a 95% confidence interval for the difference between (Pi - P2) is

, (p2)20.025 (Pi -P2) 20.025* pi (1-p(1- p2) R2 R2

0.099 (1 0.099)0.09210.092) ((0.099-0.092)-1.95996* 1478000 (0.099 0.099(1-0.099)0.09210.092) 0.092)1.95996* 1068000 1478000

(-0.000733626, 0.000733680)

(-0.000733626, 0.000733680)

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