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

Question

Three randomly selected households are surveyed. The numbers of people in the households are 1?, 3?, and 8. Assume that samples of size nequals2 are randomly selected with replacement from the population of 1?, 3?, and 8. Construct a probability distribution table that describes the sampling distribution of the proportion of even numbers when samples of sizes nequals2 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. 1?,1???1?,3???1?,8???3?,1???3?,3???3?,8???8?,1???8?,3???8?,8 Construct the probability distribution table. Sample Proportion Probability ? 0 0.25 0.1 nothing ? 0.25 0.5 0.75 nothing ? 0.75 0.25 1 nothing ?(Type an integer or? fraction.)

Explanation / Answer

here as each sampple is equally probable therefore probability of each sample:

  mean of the sample proportions equal the proportion of even numbers in the? population

sample proportions target the value of the population? proportion

sample proportion make a good estimator of the population? proportion

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