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A department of education reported that in 2007, 65% of students enrolled in col

ID: 2933226 • Letter: A

Question

A department of education reported that in 2007,

65%

of students enrolled in college or a trade school within 12 months of graduating from high school. In 2013, a random sample of

320

individuals who graduated from high school 12 months prior was selected. From this sample,

244

students were found to be enrolled in college or a trade school. Complete parts a through c below.

a. Construct a

90%

confidence interval to estimate the actual proportion of students enrolled in college or a trade school within 12 months of graduating from high school in 2013.A

90%

confidence interval to estimate the actual proportion has a lower limit of

nothing

and an upper limit of

nothing.

(Round to three decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

90% confidence interval results:

Hence,

a) 90% confidence interval will be:

Lower limit = 0.723

Upper limit = 0.802

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 244 320 0.7625 0.02378903 0.72337053 0.80162947
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