Suppose a simple random sample of size n = 150 is obtained from a population whose size is N=25,000 and whose population proportion with a specified characteristic is p=0.2. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling listribution below. OA. Not normal because n ≤0.05N and np(1-p) z 10. B. Not normal because n ≤0.05N and np(1-p) < 10. C. Approximately normal because n≤ 0.05N and np(1-p) ≥ 10. OD. Approximately normal because n ≤0.05N and np(1-p) < 10. Determine the mean of the sampling distribution of p. H = 2 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. dA=0.03266 (Round to six decimal places as needed.) P (b) What is the probability of obtaining x = 36 or more individuals with the characteristic? That is, what is P(p20.24)? P(p20.24)= (Round to four decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
icon
Related questions
Question
←
Suppose a simple random sample of size n= 150 is obtained from a population whose size is N=25,000 and whose
population proportion with a specified characteristic is p=0.2. Complete parts (a) through (c) below.
(a) Describe the sampling distribution of p.
Choose the phrase that best describes the shape of the sampling listribution below.
OA Not normal because n ≤0.05N and np(1-p) 2 10.
OB. Not normal because n ≤0.05N and np(1-p) < 10.
c. Approximately normal because n≤0.05N and np(1-p) 2 10.
O D. Approximately normal because n ≤0.05N and np(1-p) <10.
Determine the mean of the sampling distribution of p.
H = 2 (Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution of p.
G= 0.03266 (Round to six decimal places as needed.)
P
(b) What is the probability of obtaining x = 36 or more individuals with the characteristic? That is, what is P(p20.24)?
P(p20.24)= (Round to four decimal places as needed.)
an example
Get more help.
Clear all
Check answer
Transcribed Image Text:← Suppose a simple random sample of size n= 150 is obtained from a population whose size is N=25,000 and whose population proportion with a specified characteristic is p=0.2. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling listribution below. OA Not normal because n ≤0.05N and np(1-p) 2 10. OB. Not normal because n ≤0.05N and np(1-p) < 10. c. Approximately normal because n≤0.05N and np(1-p) 2 10. O D. Approximately normal because n ≤0.05N and np(1-p) <10. Determine the mean of the sampling distribution of p. H = 2 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. G= 0.03266 (Round to six decimal places as needed.) P (b) What is the probability of obtaining x = 36 or more individuals with the characteristic? That is, what is P(p20.24)? P(p20.24)= (Round to four decimal places as needed.) an example Get more help. Clear all Check answer
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 22 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL