Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N = 1,000,000 and whose populationproportion with a specified characteristic is p = 0.37. Complete parts (a) through (c) below.(a) Describe the sampling distribution of p.A. Approximately normal, μ = 0.37 and o≈ 0.0002ррO B. Approximately normal, µ^ = 0.37 and ≈ 0.0005ррO C. Approximately normal, μ = 0.37 and o≈ 0.0153рр(b) What is the probability of obtaining x = 390 or more individuals with the characteristic?(Round to four decimal places as needed.)P(x ≥ 390) =(c) What is the probability of obtaining x = 340 or fewer individuals with the characteristic?P(x≤ 340) = (Round to four decimal places as needed.)

Solution-:Given: N=1000000, n=1000, p=0.37We want to(a) describe the sampling distribution of (b)…

Answered: Suppose a simple random sample of size…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose a simple random sample of size n= 125 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p= 0.8. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. O A. Not normal because ns0.05N and np(1- p) 2 10. O B. Approximately normal because ns0.05N and np(1- p) 2 10. O C. Not normal because ns0.05N and np(1- p) < 10. O D. Approximately normal because ns0.05N and np(1- p) < 10. Determine the mean of the sampling distribution of p. Ha = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. OA = (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 105 or more individuals with the characteristic? That is, what is P(p 20.84)? P(p20.84) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x =…
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