Ask Question
29 March, 07:57

At a large local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a particular study. The probability that the sample proportion (the proportion living in the dormitories) is between 0.30 and 0.50 is what?

+1
Answers (1)
  1. 29 March, 08:47
    0
    0.9325

    Step-by-step explanation:

    Given

    n = sample size = 80

    p = probability = 0.4

    q = 1 - p = 0 ... 6

    standard deviation for the proportion = √ (p * q) / n = √ (0.4*0.6) / 80 = 0.0547

    for the proportion mean is 0.4

    now we can find z and the probability

    P (0.3
    P (0.3
    Using a z table

    P (0.3
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “At a large local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a particular ...” 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