Question

in a survey of 1327 people, 871 people said they voted in a recent presidential election. voting records show that 63% of eligible voters actually did vote. given that 63% of eligible voters actually did vote, find the probability that among 1327 randomly selected voters, at least 871 actually did vote. (b) what does the result from part (a) suggest? (a) p(x ≥ 871) = 0.0250 (round to four decimal places as needed.) (b) what does the result from part (a) suggest? a. people are being honest because the probability of p(x ≥ 871) is at least 1%. b. some people are being less than honest because p(x ≥ 871) is less than 5%. c. some people are being less than honest because p(x ≥ 871) is at least 1%. d. people are being honest because the probability of p(x ≥ 871) is less than 5%.

Explanation:

Step1: Analyze probability result

The probability $P(X\geq871) = 0.0250$ which is less than 0.05 (or 5%). In statistics, events with a probability of less than 5% are often considered unusual.

Step2: Interpret honesty

If the actual - reported number of voters has a very low probability of occurring based on the known voting - rate, it suggests that some people may be not being honest in their responses.

Answer:

B. Some people are being less than honest because $P(x\geq871)$ is less than 5%