1. Three randomly selected households are surveyed. The numbers of people in the households are 1, 2, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 1, 2, and 12. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n= 2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 1,1 1,2 1,12 2,1 2,2 2,12 12,1 12,2 12,12 Construct the probability distribution table. Sample Proportion Probability (Type an integer or fraction.) Choose the correct answer below. O A. The proportion of odd numbers in the population is not equal to the mean of the sample proportions. O B. The proportion of odd numbers in the population is equal to the mean of the sample proportions of even numbers. OC. The proportion of even numbers in the population is equal to the mean of the sample proportions of odd numbers. D. The proportion of odd numbers in the population is equal to the mean of the sample proportions. Choose the correct answer below. O A. The sample proportions do not target the proportion of odd numbers in the population, so sample proportions make good estimators of the population proportion. B. The sample proportions target the proportion of odd numbers in the population, so sample proportions do not make good estimators of the population proportion. OC. The sample proportions do not target the proportion of odd numbers in the population, so sample proportions do not make good estimators of the population proportion. D. The sample proportions target the proportion of odd numbers in the population, so sample proportions make good estimators of the population proportion.
1. Three randomly selected households are surveyed. The numbers of people in the households are 1, 2, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 1, 2, and 12. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n= 2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 1,1 1,2 1,12 2,1 2,2 2,12 12,1 12,2 12,12 Construct the probability distribution table. Sample Proportion Probability (Type an integer or fraction.) Choose the correct answer below. O A. The proportion of odd numbers in the population is not equal to the mean of the sample proportions. O B. The proportion of odd numbers in the population is equal to the mean of the sample proportions of even numbers. OC. The proportion of even numbers in the population is equal to the mean of the sample proportions of odd numbers. D. The proportion of odd numbers in the population is equal to the mean of the sample proportions. Choose the correct answer below. O A. The sample proportions do not target the proportion of odd numbers in the population, so sample proportions make good estimators of the population proportion. B. The sample proportions target the proportion of odd numbers in the population, so sample proportions do not make good estimators of the population proportion. OC. The sample proportions do not target the proportion of odd numbers in the population, so sample proportions do not make good estimators of the population proportion. D. The sample proportions target the proportion of odd numbers in the population, so sample proportions make good estimators of the population proportion.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:1. Three randomly selected households are surveyed. The numbers of people in the households are 1, 2, and 12. Assume that
samples of size n= 2 are randomly selected with replacement from the population of 1, 2, and 12. Construct a probability
distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n=2 are
randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the
sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the
population proportion? Listed below are the nine possible samples.
1,1 1,2 1,12 2,1 2,2 2,12 12,1 12,2 12,12
Construct the probability distribution table.
Sample
Proportion
Probability
(Type an integer or fraction.)
Choose the correct answer below.
O A. The proportion of odd numbers in the population is not equal to the mean of the sample
proportions.
B. The proportion of odd numbers in the population is equal to the mean of the sample proportions
of even numbers.
C. The proportion of even numbers in the population is equal to the mean of the sample proportions
of odd numbers.
D. The proportion of odd numbers in the population is equal to the mean of the sample proportions.
Choose the correct answer below.
O A. The sample proportions do not target the proportion of odd numbers in the population, so sample
proportions make good estimators of the population proportion.
B. The sample proportions target the proportion of odd numbers in the population, so sample
proportions do not make good estimators of the population proportion.
C. The sample proportions do not target the proportion of odd numbers in the population, so sample
proportions do not make good estimators of the population proportion.
D. The sample proportions target the proportion of odd numbers in the population, so sample
proportions make good estimators of the population proportion.
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