Statistics

posted by .

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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Statistics: Two Sample Population Confidence Inter

    Two Sample Population Confidence Interval: Before an intensive TV advertising campaign, the producers of Nike athletic shoes find that 30 of a random sample of 217 upper-income adults were aware of their new leisure shoe line. A second …
  2. statistics

    You have hired a polling organization to take a simple random sample from a box of 200,000 tickets and estimate the percentage of 1s in the box. Unknown to them, the box contains 50% 0s and 50% 1s. How far off should you expect them …
  3. Statistics

    A survey organization takes a simple random sample of 625 households from a city of 80,000 households. On the average, there are 2.30 persons per sample household, and the SD is 1.75. Say whether each of the following statements are …
  4. statistics

    8. Suppose that the IQ score for a person selected from a certain group of people is approximately N(; 100). Let X1;X2; : : : ;Xn be a random sample of such IQ scores. (a) How large should n be so that a 90% con dence interval for …
  5. Statistics

    City A has 1,000,000 people; City B has 4,000,000 people. Suppose the goal is to try to predict the percent of Purple Party voters in a sample. Other things being equal, a simple random sample of 1% of the people in City A has about …
  6. statistics

    Suppose you are trying to estimate the percent of women in a city. Other things being equal, a simple random sample of 0.1% of the population of a city that has 2,000,000 people is ________ as a simple random sample of 0.1% of the …
  7. statistics

    Suppose you are trying to estimate the percent of women in a city. Other things being equal, a simple random sample of 0.1% of the population of a city that has 2,000,000 people is ________ as a simple random sample of 0.1% of the …
  8. college stats

    help please!!! 1. The average number of bumped passengers per day on FliRite Airlines is 2.47 with a standard deviation of 1.75. For a random sample of 40 days, what is the chance the average number of bumped passengers in the sample …
  9. social studies

    A poll of 700 persons attending the Taste of Chicago showed that 455 persons, 65% of the sample, believed that the food was overpriced. It is estimated that 1,250,000 persons attend the Taste. Statistics suggest that, although 65% …
  10. statistics

    A poll of 700 persons attending the Taste of Chicago showed that 455 persons, 65% of the sample, believed that the food was overpriced. It is estimated that 1,250,000 persons attend the Taste. Statistics suggest that, although 65% …

More Similar Questions