Suppose a simple random sample of size n= 200 is obtained from a population whose size is N= 20,000 and whose population proportion with a specified characteristic p=0.4. Complete parts (a) through (C) below. O D. ApprOXimately rorImai Decause nsU.UDIV aru rpu- P)210. O C. Not normal because ns0.05N and np(1 - p) 2 10. O D. Approximately normal because ns0.05N and np(1 - p) < 10. Determine the mean of the sampling distribution of p. HA= 0.4 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p GA = 0.034641 (Round to six decimal places as needed) (b) What is the probability of obtaining x = 90 or more individuals with the characteristic? That is, what is P(p20.45)7 PÔ20.45) = 0.0745 (Round to four decimal places as needed) (c) What is the probability of obtaining x = 66 or fewer individuals with the characteristic? That is, what is P(ps0.33)? Pos0.33) = (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Suppose a simple random sample of size n=200 is obtained from a population whose size is N= 20,000 and whose population proportion with a specified characteristic is p= 0.4. Complete parts (a) through (c) below.
U D. Approximately Tormai because isu.UDIN annu ripu-pj2 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= 0.4 (Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution of p.
GA= 0.034641 (Round to six decimal places as needed.)
(b) What is the probability of obtaining x = 90 or more individuals with the characteristic? That is, what is P(p20.45)?
P(p20.45) = 0.0745 (Round to four decimal places as needed.)
(c) What is the probability of obtaining x 66 or fewer individuals with the characteristic? That is, what is P(ps0.33)?
P(ps0.33) = (Round to four decimal places as needed.)
Transcribed Image Text:Suppose a simple random sample of size n=200 is obtained from a population whose size is N= 20,000 and whose population proportion with a specified characteristic is p= 0.4. Complete parts (a) through (c) below. U D. Approximately Tormai because isu.UDIN annu ripu-pj2 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= 0.4 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. GA= 0.034641 (Round to six decimal places as needed.) (b) What is the probability of obtaining x = 90 or more individuals with the characteristic? That is, what is P(p20.45)? P(p20.45) = 0.0745 (Round to four decimal places as needed.) (c) What is the probability of obtaining x 66 or fewer individuals with the characteristic? That is, what is P(ps0.33)? P(ps0.33) = (Round to four decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman