In a survey of 1048 ​people, 729 people said they voted in a recent presidential election. Voting records show that 67 ​% of eligible voters actually did vote. Given that 67 ​% of eligible voters actually did​ vote, (a) find the probability that among 1048 randomly selected​ voters, at least 729 actually did vote.​ (b) What do the results from part​ (a) suggest?

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Asked Apr 27, 2019
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In a survey of 1048 ​people, 729 people said they voted in a recent presidential election. Voting records show that 67 ​% of eligible voters actually did vote. Given that 67 ​% of eligible voters actually did​ vote, (a) find the probability that among 1048 randomly selected​ voters, at least 729 actually did vote.​ (b) What do the results from part​ (a) suggest?

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Expert Answer

Step 1

Given proportion of eligible voters did vote = p = 0.67.

In a survey of 1048 people 729 people said they voted. Proportion of people voted in sample of 1048 = 729/1048 = 0.6956.

Let p be a distribution which represents the proportion of people voted. In given sample with size 1048, it is large enough that np and n(1-p) are greater than 10. So, we can assume that it fo...

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