Three randomly selected households are surveyed. The numbers of people in the households are 2

2, 3

3, and 10

10. Assume that samples of size nequals

=2 are randomly selected with replacement from the population of 2

2, 3

3, and 10

10. Construct a probability distribution table that describes the sampling distribution of the proportion of even

even numbers when samples of sizes nequals

=2 are randomly selected. Does the mean of the sample proportions equal the proportion of even

even numbers in thepopulation? Do the sample proportions target the value of the populationproportion? Does the sample proportion make a good estimator of the populationproportion? Listed below are the nine possible samples.

2

2,2

22

2,3

32

2,10

103

3,2

23

3,3

33

3,10

1010

10,2

210

10,3

310

10,10

10

Construct the probability distribution table.

Sample Proportion

Probability

0.1

0.25

0

nothing

0.75

0.25

0.5

nothing

1

0.75

0.25

nothing