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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