nuability dstiaumioia proportions equal the piaponthe population proportion? Thr

Question

nuability dstiaumioia proportions equal the piaponthe population proportion? Three randomly selected households are surveyed. The numbers of people in the households are 2, 3, and 10. Assume that samples of size n 2 are randomly selected with replacement from the population of 2, 3, and 10. 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 2,3 2,10 3,2 3,3 3,10 10,2 10,3 10,10 Construct the probability distribution table. Sample Proportion Probability (Type an integer or fraction.)

Explanation / Answer

as each sample has equal probability to occur; hence probability of each sample=1/9

Yes; sample proprtion target population proportin and make good estimator of population proportion

sample proportion probability 0           1/9    1/2    4/9 1           4/9

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