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A department of education reported that in 2007, 66% of students enrolled in col

ID: 3334262 • Letter: A

Question

A department of education reported that in 2007, 66% 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, 212 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. | and an upper limit of A 90% confidence interval to estimate the actual proportion has a lower limit of | (Round to three decimal places as needed.)

Explanation / Answer

p = 0.66

At 90% cinfidence interval critical value Z0.95 = 1.645

Cinfidence interval = 0.66 +/- Z * sqrt(P (1 - P)/n)

= 0.66 +/- 1.645 * sqrt(0.66 * 0.34/212)

= 0.66 +/- 0.054

= 0.606, 0.714

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