https://gyazo.com/e3fd045e6d2a29657fdd8312ecbdfd76 a adults in the country. Comp

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https://gyazo.com/e3fd045e6d2a29657fdd8312ecbdfd76

a adults in the country. Complete arts at ou be According o a survey, about 24% o adults in a certain country are pessimistic about the future o mar age and he family. This is based on a sample but assume that his percentage is comec a Using a Br om al model, what s the probab y that n a sample o 40 adults, 20% or e ver of the people n the sample are essi istic about the rec na age and armh? 0.352 (Round to three decimal places as needed) b) Now use a Normal model to compute that probability. How does this compare to the answer from part a? Using the Normal model, the probability is (Round to three decimal places as needed)

Explanation / Answer

b)

p = 0.24 , n = 40 , p bar = 0.2

z = ( pcap - p) / sqrt(p* ( 1 - p) / n)
= ( 0.2 - 0.24) / sqrt( 0.24 * ( 1 - 0.24) / 40)
= -0.5923

P(pcap <= 0.2) = p( z <= -0.5923) = 0.277

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