Stats

posted by .

A random sample of n=500 households in a certain metropolitan area revealed that 150 have combined cable, phone and internet service.
a.Calculate p-hat, the sample proportion of households having such service.
b.Calculate a confidence interval for π, the proportion of all households in this area that have such service; use a confidence level of 90%.

  • Stats -

    For a): p-hat = x/n = 150/500 (convert to a decimal to use in part b).

    For b): CI90 = p ± (1.645)[√(pq/n)]
    ...where p = x/n, q = 1 - p, and n = sample size.
    Note: ± 1.645 represents 90% confidence interval.

    Hopefully, you can take it from here.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. Statistics

    3. A telephone company wants to estimate the porportion of households that would purchase an additional service line if it were made available at a substantially reduced cost. A random sample of 500 households is selected and the results …
  3. Statistics Math

    The sample proportion is never equal to the population proportion We expect 95% confidence intervals to contain the sample proportion 95% of the time Are the above statements true?
  4. statistics

    Please help- A random sample of n=500 households where 150 have combined cable,phone, and internet service. Firrst, calculate p-hat, the sample proportion of households having such service. Then use a confidence level for pi, the proportion …
  5. statistic

    A survey of households in a small town showed that in 500 of 1,200 sampled households, at least one member attended a town meeting during the year. Using the 95% level of confidence, what is the confidence interval for the proportion …
  6. math

    Question 1 Production Rates A manufacturing company wishes to estimate the number of items that its workforce can produce on average each hour now that they have a new machine. The factory examined the records for a random sample of …
  7. Data Analysis

    A) An insurance company wants to estimate the proportion of people unsatisfied with their new telephone help service. A survey of 200 callers revealed 45 were unsatisfied with the service. Construct by hand a 95% confidence interval …
  8. Data Analyse

    Question 1 Production Rates A manufacturing company wishes to estimate the number of items that its workforce can produce on average each hour now that they have a new machine. The factory examined the records for a random sample of …
  9. MATHS (PROBABILITY)

    (a) An insurance company wants to estimate the proportion of people unsatisfied with their new telephone help service. A survey of 200 callers revealed 45 were unsatisfied with the service. Construct by hand a 95% confidence interval …
  10. Stats

    According to a previous​ report, 15​% of households had some type of​ high-speed Internet connection. Suppose 12 households are selected at random and the number of households with​ high-speed Internet is recorded.​ (a) Find …

More Similar Questions