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1. 1000 randomly selected Americans were asked if they believed the minimum wage should be raised....

1. 1000 randomly selected Americans were asked if they believed the minimum wage should be raised. 600 said yes. (12points)a)Construct a 90% confidence interval for the proportion of Americans who believe that the minimum wage should be raised.b)Briefly explain what your confidence interval from part (a) means.

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Answer #2

Number of samples, n = 1000

Successful observations, x = 600

p = 600/1000 = 0.6

(a)

We know that,

C. I. = where, p = 0.6

n = 1000

z value at 90% is 1.645

Therefore, 90% confidence interval for the proportion of Americans who believe that the minimum wage should be raised is

Confidence Interval = [0.5745, 0.6255]

(b)

The interpretation of confidence interval is that, we are 90% sure that the population mean lies between the above shown confidence interval values.

answered by: anonymous
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