Ask Question
6 December, 18:12

68% of Americans own their home, a real estate office selects a random sample of 200 people to estimate the percentage of those people that own their home. What is the probability that at least 140 people own their home?

+4
Answers (1)
  1. 6 December, 20:37
    0
    0.2709

    Step-by-step explanation:

    Since the sample size is large enough (np > 10 and nq > 10), we can estimate this with a normal distribution.

    μ = p

    μ = 0.68

    σ = √ (pq / n)

    σ = √ (0.68 (1 - 0.68) / 200)

    σ = 0.033

    x = 140 / 200

    x = 0.7

    Find the z score:

    z = (x - μ) / σ

    z = (0.7 - 0.68) / 0.033

    z = 0.61

    Use a calculator or table to find the probability.

    P (Z > 0.61)

    1 - P (Z < 0.61)

    1 - 0.7291

    0.2709
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “68% of Americans own their home, a real estate office selects a random sample of 200 people to estimate the percentage of those people that ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers