A department of education reported that in 2007, 67%of students enrolled in coll

Question

A department of education reported that in 2007, 67%of students enrolled in college or a trade school within 12 months of graduating from high school. In 2013, a random sample of 160 individuals who graduated from high school 12 months prior was selected. From this sample, 98 students were found to be enrolled in college or a trade school. Complete parts a through c below.

a. Construct a 95%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 95% confidence interval to estimate the actual proportion has a lower limit of nothing and an upper limit of nothing.

Explanation / Answer

Normal approximation to the binomial calculation:

Standard error of the mean = SEM = x(N-x)/N3 = 0.039

= (1-CL)/2 = 0.005

Standard normal deviate for = Z = 2.576

Proportion of positive results = P = x/N = 0.613

Lower bound = P - (Z*SEM) = 0.513

Upper bound = P + (Z*SEM) = 0.712

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