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## hree randomly selected households are surveyed. The numbers of people in the households are 2​, 7​, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 2​, 7​, and 12. Construct a probability distribution table that describes the sampling distribution of the proportion of even

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

2​,
7​,

and

12.

Assume that samples of size

n=2

are randomly selected with replacement from the population of

2​,
7​,

and

12.

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.

2​,2
2​,7
2​,12
7​,2
7​,7
7​,12
12​,2
12​,7
12​,12

Construct the probability distribution table.

Sample Proportion
Probability

0.25
0
0.1
nothing

0.75
0.5
0.25
nothing

1
0.75
0.25
nothing

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