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Statistics

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In a certain city, there are 10,000 persons age 18 to 24. A simple random sample of
500 such persons is drawn, of whom 200 turn out to be currently enrolled in college. Find a 90%
con¯dence interval for the percentage of persons age 18 to 24 in the city who are attending college.

  • Statistics - ,

    Try using a binomial proportion CI formula:

    CI90 = p + or - 1.645(√pq/n)
    ...where p = proportion in the problem, q = 1 - p, n = sample size, √ = square root, and + or - 1.645 represents 90% CI using a z-table.

    Your data:
    p = 200/500
    q = 1 - p
    n = 500

    Convert all fractions to decimals. Substitute values into the formula and determine the confidence interval.

    I hope this will help get you started.

  • Statistics - ,

    500.12

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