Suppose a simple random sample of size n = 50 is obtained from a population whose size is N = 10,000 and whose population proportion with a specified characteristic is p = 0.4. 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)< 10. O B. Approximately normal because ns0.05N and np(1-p) < 10. OC. 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 = E (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 = 23 or more individuals with the characteristic? That is, what is P(p20.46)? P(p20.46) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 18 or fewer individuals with the characteristic? That is, what is P(ps0.36)? P(ps0.36) = (Round to four decimal places as needed.)
Suppose a simple random sample of size n = 50 is obtained from a population whose size is N = 10,000 and whose population proportion with a specified characteristic is p = 0.4. 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)< 10. O B. Approximately normal because ns0.05N and np(1-p) < 10. OC. 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 = E (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 = 23 or more individuals with the characteristic? That is, what is P(p20.46)? P(p20.46) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 18 or fewer individuals with the characteristic? That is, what is P(ps0.36)? P(ps0.36) = (Round to four decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Related questions
Question
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 2 steps with 1 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill