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The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below. Musi
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Answer #1

solution:- optionc. (-0.0826 , 0.04255)

explanation:-

given that

pop

n1 = 800 , x1 = 384 then

proportion for Pop p1 = x1/n1 = 384/800 = 0.48

Rap

n2 = 900 , x2 = 450 then

proportion for Rap p2 = x2/n2 = 450/900 = 0.5

the value of 99% confidence from z table is 2.576

confidence interval formula

=> (p1-p2) +/- z * sqrt((p1*(1-p1)/n1) + (p2*(1-p2)/n2))

=> (0.48-0.5) +/- 2.576 * sqrt((0.48*(1-0.48)/800) + (0.5*(1-0.5)/900))

=> (-0.0826 , 0.04255)

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