Three randomly selected households are surveyed. The numbers of people in the households are1,3,and8.Assume that samples of sizen=2are randomly selected with replacement from the population of1,3,and8.Construct a probability distribution table that describes the sampling distribution of the proportion ofevennumbers when samples of sizesn=2are randomly selected. Does the mean of the sample proportions equal the proportion ofevennumbers 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 1,3 1,8 3,1 3,3 3,8 8,1 8,3 8,8 Construct the probability distribution table. Sample ProportionProbability▼ 0.2500.1nothing▼ 0.250.50.75nothing▼ 0.750.251nothing(Type an integer or fraction.)Choose the correct answer below. A.The proportion ofevennumbers in the population is equal to the mean of the sample proportions ofoddnumbers. B.The proportion ofevennumbers in the population is not equal to the mean of the sample proportions. C.The proportion ofevennumbers in the population is equal to the mean of the sample proportions. D.The proportion ofoddnumbers in the population is equal to the mean of the sample proportions ofevennumbers.Choose the correct answer below. A.The sample proportions target the proportion ofevennumbers in the population, so sample proportions do not make good estimators of the population proportion. B.The sample proportions target the proportion ofevennumbers in the population, so sample proportions make good estimators of the population proportion. C.The sample proportions do not target the proportion ofevennumbers in the population, so sample proportions make good estimators of the population proportion. D.The sample proportions do not target the proportion ofevennumbers in the population, so sample proportions do not make good estimators of the population proportion.

Answer: We have given that, the population is 1,3 and 8. So, from this sample of size n=2 with…

Answered: Construct a probability distribution…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Three randomly selected households are surveyed. The numbers of people in the households are

and

Assume that samples of size

n=2

are randomly selected with replacement from the population of

and

Construct a probability distribution table that describes the sampling distribution of the proportion of

even

numbers when samples of sizes

n=2

are randomly selected. Does the mean of the sample proportions equal the proportion of

even

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

1,3

1,8

3,1

3,3

3,8

8,1

8,3

8,8

Construct the probability distribution table.

Sample Proportion	Probability
▼ 0.25 0 0.1	nothing
▼ 0.25 0.5 0.75	nothing
▼ 0.75 0.25 1	nothing

(Type an integer or fraction.)

Choose the correct answer below.

The proportion of

even

numbers in the population is equal to the mean of the sample proportions of

odd

numbers.

The proportion of

even

numbers in the population is not equal to the mean of the sample proportions.

The proportion of

even

numbers in the population is equal to the mean of the sample proportions.

The proportion of

odd

numbers in the population is equal to the mean of the sample proportions of

even

numbers.

Choose the correct answer below.

The sample proportions target the proportion of

even

numbers in the population, so sample proportions do not make good estimators of the population proportion.

The sample proportions target the proportion of

even

numbers in the population, so sample proportions make good estimators of the population proportion.

The sample proportions do not target the proportion of

even

numbers in the population, so sample proportions make good estimators of the population proportion.

The sample proportions do not target the proportion of

even

numbers in the population, so sample proportions do not make good estimators of the population proportion.

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