(a) Describe the sampling distribution of p. O A. Approximately normal, μ = 0.37 and GA≈ Р OB. Approximately normal, μ = 0.37 and p OC. Approximately normal, μ = 0.37 and p p 0.0005 ≈ 0.0153 ≈ 0.0002 P (b) What is the probability of obtaining x=390 or more individuals with the characteristic? P(x ≥ 390) = (Round to four decimal places as needed.) (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.)
(a) Describe the sampling distribution of p. O A. Approximately normal, μ = 0.37 and GA≈ Р OB. Approximately normal, μ = 0.37 and p OC. Approximately normal, μ = 0.37 and p p 0.0005 ≈ 0.0153 ≈ 0.0002 P (b) What is the probability of obtaining x=390 or more individuals with the characteristic? P(x ≥ 390) = (Round to four decimal places as needed.) (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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Suppose a simple random sample of size \( n = 1000 \) is obtained from a population whose size is \( N = 1,000,000 \) and whose population proportion with a specified characteristic is \( p = 0.37 \). Complete parts (a) through (c) below.
(a) Describe the sampling distribution of \(\hat{p}\).
- O A. Approximately normal, \(\mu_{\hat{p}} = 0.37\) and \(\sigma_{\hat{p}} \approx 0.0005\)
- O B. Approximately normal, \(\mu_{\hat{p}} = 0.37\) and \(\sigma_{\hat{p}} \approx 0.0153\)
- O C. Approximately normal, \(\mu_{\hat{p}} = 0.37\) and \(\sigma_{\hat{p}} \approx 0.0002\)
(b) What is the probability of obtaining \( x = 390 \) or more individuals with the characteristic?
\( P(x \geq 390) = \) \([ \, ]\) (Round to four decimal places as needed.)
(c) What is the probability of obtaining \( x = 340 \) or fewer individuals with the characteristic?
\( P(x \leq 340) = \) \([ \, ]\) (Round to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8c14599-568d-4e0a-866b-350ab0c06729%2Fb551af6d-aae5-45c4-a7eb-fa9774b73261%2Fulpuqwe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose a simple random sample of size \( n = 1000 \) is obtained from a population whose size is \( N = 1,000,000 \) and whose population proportion with a specified characteristic is \( p = 0.37 \). Complete parts (a) through (c) below.
(a) Describe the sampling distribution of \(\hat{p}\).
- O A. Approximately normal, \(\mu_{\hat{p}} = 0.37\) and \(\sigma_{\hat{p}} \approx 0.0005\)
- O B. Approximately normal, \(\mu_{\hat{p}} = 0.37\) and \(\sigma_{\hat{p}} \approx 0.0153\)
- O C. Approximately normal, \(\mu_{\hat{p}} = 0.37\) and \(\sigma_{\hat{p}} \approx 0.0002\)
(b) What is the probability of obtaining \( x = 390 \) or more individuals with the characteristic?
\( P(x \geq 390) = \) \([ \, ]\) (Round to four decimal places as needed.)
(c) What is the probability of obtaining \( x = 340 \) or fewer individuals with the characteristic?
\( P(x \leq 340) = \) \([ \, ]\) (Round to four decimal places as needed.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman