A simple random sample of size n = 200 is obtained from a population whose size is N = 25,000 and whose population proportion with a specified characteristic is = = = 0.65. a. Describe the sampling distribution of p b. What is the probability of obtaining x = 136 or more individual s with the characteristic? That is, what is P (p >= 0.68)? c. What is the probability of obtaining x = 118 or fewer individuals with the characteristic? That is, what is P (p = 0.59)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question 3.
A simple random sample of size n = 200 is obtained from a population
whose size is N = 25,000 and whose population proportion with a
specified characteristic is = = 0.65.
a. Describe the sampling distribution of p
b. What is the probability of obtaining x = 136 or more individual s
with the characteristic? That is, what is P (p >= 0.68)?
c. What is the probability of obtaining x = 118 or fewer individuals
with the characteristic? That is, what is P (p = 0.59)?
Transcribed Image Text:Question 3. A simple random sample of size n = 200 is obtained from a population whose size is N = 25,000 and whose population proportion with a specified characteristic is = = 0.65. a. Describe the sampling distribution of p b. What is the probability of obtaining x = 136 or more individual s with the characteristic? That is, what is P (p >= 0.68)? c. What is the probability of obtaining x = 118 or fewer individuals with the characteristic? That is, what is P (p = 0.59)?
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