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

Please provide step by step on each of the following to be able to construct the probability distribution table. I came up with

0=1/9

.5=4/9

1= 4/9

but the answer is as follows:

0=4/9

.5=4/9

1=1/9

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

4, 5, and 9.

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

nequals=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.

4,4

4,5

4,9

5,4

5,5

5,9

9,4

9,5

9,9,

Thank you

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