In a survey of 1448 people, 991 people said they voted in a recent presidential

Question

In a survey of 1448 people, 991 people said they voted in a recent presidential election. Voting records show that 66% of eligible voters actually did vote. Given that 66% of eligible voters actually did vote, (a) find the probability that among 1448 randomly selected voters, at least 991 actually did vote. (b) What do the results from part (a) suggest? (a) P(X2991)-(Round to four decimal places as needed.) (b) What does the result from part (a) suggest? 0 A. People are being honest because the probability of P(x2991) is less than 5%. O B. People are being honest because the probability of P(x 2991) is at least 1%. ° C. Some people are being less than honest because P(x 2991) is at least 1%. O D. Some people are being less than honest because P(x 2991) is less than 5%.

Explanation / Answer

here mean =np=1448*0.66=955.68

std deviaiton=(np(1-p))1/2 =18.026

hence P(X>=991)=1-P(X<=990)=1-P(Z<(990.5-955.68)/18.026)=1-P(Z<1.9317)=1-0.9733 =0.0267

b)

option D is correct

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