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.)
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
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