Question

In a survey of 1309 ​people, 825 people said they voted in a recent presidential election. Voting records show that 60​% of eligible voters actually did vote. Given that 60​% of eligible voters actually did​ vote,

(a) find the probability that among 1309 randomly selected​ voters, at least 825 actually did vote.​

(b) What do the results from part​ (a) suggest?
​(a) ​P(X ≥ 825) = ………..
​(Round to four decimal places as​ needed.)
​(b) What does the result from part​ (a) suggest?

A. Some people are being less than honest because ​P(x ≥ 825) is at least​ 1%.

B. Some people are being less than honest because ​P(x ≥ 825) is less than​ 5%.

C. People are being honest because the probability of ​P(x ≥ 825​) is less than​ 5%.

D. People are being honest because the probability of ​P(x ≥ 825​) is at least​ 1%.

Answer 1

a). P(X>=825)= 0.0119

b). Correct answer is option C

Result from part (a) suggest that people are being honest because the probability of P(X>=825) is less than 5%

Complete solution is given in attached image:

Thank You.