In a past election, the voter turnout was 69%. In a survey, 934 subjects were asked...

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In a past election, the voter turnout was 69%. In a survey, 934 subjects were asked...

In a past election, the voter turnout was 69%. In a survey, 934 subjects were asked if they voted in the election. a. Find the mean and standard deviation for the numbers of voters in groups of 934. b. In the survey of 934 people, 695 said that they voted in the election. Is this result consistent with the turnout, or is this result unlikely to occur with a turnout of 69%? Why or why not? c. Based on these results, does it appear that accurate voting results can be obtained by asking voters how they acted?

a. μ = _______ (Round to one decimal place as needed.)

σ =_______ (Round to one decimal place as needed.)

b. Is the result of 695 voting in the election usual or unusual? (Choose one)

A). This result is usual because 695 is within the range of usual values.

B). This result is unusual because 695 is greater than the maximum usual value.

C). This result is unusual because 695 is within the range of usual values.

D). This result is unusual because 695 is below the minimum usual value.

c. Does it appear that accurate voting results can be obtained by asking voters how they acted? (Choose one)

A). No, because it appears that substantially more people say that they voted than the proportion of people who actually did vote.

B). No, because it appears that substantially fewer people say that they voted than the proportion of people who actually did vote.

C). Yes, because the results indicate that 69 % is a possible turnout.

math Statistics-And-Probability

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Answer 1

Answer #1

Here we can use binomial distribution:

mean = = n*p = 934*0.69 = 644.5

Standard deviation = σ = Vn * p * (1-p) = V934 * 0.69 * 0.31 = 14.1

b) Here 695 is greater than the mean value 644.5

So we need to find maximum usual range = μ + 2 * σ 644.5 + (2 * 14.1) = 672.7

Since 695 is greater than 672.7 so correct option is "B). This result is unusual because 695 is greater than the maximum usual value."

c. Does it appear that accurate voting results can be obtained by asking voters how they acted?

From part b) the correct choice of part c) is

"A). No, because it appears that substantially more people say that they voted than the proportion of people who actually did vote."

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Answer 2

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In a past​ election, the voter turnout was 69​%. In a​ survey, 934 subjects were asked...

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