Question

# Three randomly selected households are surveyed. The numbers of people in the households are 1​, 2​,...

Three randomly selected households are surveyed. The numbers of people in the households are 1​, 2​, and 12. Assume that samples of size nequals2 are randomly selected with replacement from the population of 1​, 2​, and 12. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes nequals2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd 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. 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 one ninth 0.5 four ninths 1 four ninths ​(Type an integer or​ fraction.)

A. The proportion of odd numbers in the population is not equal to the mean of the sample proportions.

B. The proportion of odd numbers in the population is equal to the mean of the sample proportions.

C. The proportion of even numbers in the population is equal to the mean of the sample proportions of odd numbers. D. The proportion of odd numbers in the population is equal to the mean of the sample proportions of even numbers.

A. The sample proportions target the proportion of odd numbers in the​ population, so sample proportions make good estimators of the population proportion.

B. The sample proportions do not target the proportion of odd numbers in the​ population, so sample proportions make good estimators of the population proportion.

C. The sample proportions target the proportion of odd numbers in the​ population, so sample proportions do not make good estimators of the population proportion.

D. The sample proportions do not target the proportion of odd numbers in the​ population, so sample proportions do not make good estimators of the population

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