Answered: Three randomly selected households are…

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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Question

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

and

12.

Assume that samples of size

n=2

are randomly selected with replacement from the population of

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 thepopulation? 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
▼ 0.1 0.25 0	nothing
▼ 0.5 0.25 0.75	nothing
▼ 0.75 0.25 1	nothing

(Type an integer or fraction.)

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