Question

In a survey of 1373 ​people, 930 people said they voted in a recent presidential election. Voting records show that 65​% of eligible voters actually did vote. Given that 65​% of eligible voters actually did​ vote, (a) find the probability that among 1373 randomly selected​ voters, at least 930 actually did vote.​ (b) What do the results from part​ (a) suggest? ​(a) ​P(Xgreater than or equals930​)equals nothing ​(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(xgreater than or equals930​) is at least​ 1%.

B. People are being honest because the probability of ​P(xgreater than or equals930​) is at least​ 1%.

C. Some people are being less than honest because ​P(xgreater than or equals930​) is less than​ 5%.

D. People are being honest because the probability of ​P(xgreater than or equals930​) is less than​ 5%.

Answer 1

Answer:

Given that,

In a survey of 1373 ​people, 930 people said they voted in a recent presidential election.

Voting records show that 65​% of eligible voters actually did vote. Given that 65​% of eligible voters actually did​ vote.

Here we have,

n=1373

p=0.65

Mean:

=1373 0.65

=892.45

Standard deviation:

=17.6735678

=17.6736

(a).

Find the probability that among 1373 randomly selected​ voters, at least 930 actually did vote:

[Since, from the z-score table]

=1- 0.983

=0.017

Therefore, the probability that among 1373 randomly selected​ voters, at least 930 actually did vote is 0.017.

​(b).

What does the result from part​ (a) suggest:

Here the probability that among 1373 randomly selected​ voters, at least 930 actually did vote is 0.017, which is very less.

This suggests that there is very less chance that among 1373 randomly selected voters, at least 930 actually did vote.

Actually voted voters may be less than 930.

Answer: Option (C)

Some people are being less than honest because ​P(X greater than or equals 930​) is less than​ 5%.

**Please upvote if this helps.