When two births are randomly selected the sample space for g

When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a population proportion?

Determine the probabilities of each sample proportion.

1. Does the mean of the sample proportions equal the proportion of girls in two births?

A. Yes, both the mean of the sample proportions and the population proportion are 1/4

B. No, the mean of the sample proportions and the population proportion are not equal.

C. Yes, both the mean of the sample proportions and the population proportion are 1/3.

D. Yes, both the mean of the sample proportions and the population proportion are 1/2

2. Does the result suggest that a sample proportion is an unbiased estimator of a population proportion?

A. No, because the sample proportions and the population proportion are the same.

B. No, because the sample proportions and the population proportion are not the same.

C. Yes, because the sample proportions and the population proportion are the same.

D. Yes, because the sample proportions and the population proportion are not the same.

Solution