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In: Statistics and Probability

In a survey of ​1407 people, 1077 people said they voted in a recent presidential election....

In a survey of ​1407 people, 1077 people said they voted in a recent presidential election. Voting records show that 74​% of eligible voters actually did vote. Given that ​74% of eligible voters actually did​ vote, (a) find the probability that among 1407 randomly selected​ voters, at least 1077 actually did vote.​ (b) What do the results from part​ (a) suggest?

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Answer:

Given that:

In a survey of ​1407 people, 1077 people said they voted in a recent presidential election. Voting records show that 74​% of eligible voters actually did vote. Given that ​74% of eligible voters actually did​ vote

a) find the probability that among 1407 randomly selected​ voters, at least 1077 actually did vote.

Binomial can be approximated to normal with

Normal distribution

b) What do the results from part​ (a) suggest?

Since this probability is so small,it suggest that this sample might be biased or survey suffered with self assesment bias


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