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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 For the entire population assume the probability of having a boy is the probability of having a girl is and this is not affected by how many boys or girls have previously been born Determine the probabilities of each sample proportion Sample proportion of girls 0 0 5 1 Does the mean of the sample proportions equal the proportion of girls in two births A Yes both the mean the sample proportions and the population proportion are 3 GELER 1 B Yes both the mean of the sample proportions and the population proportion are 2 OC No the mean of the sample proportions and the population proportion are not equal OD Yes both the mean of the sample proportions and the population proportion are 4 Does the result suggest that a sample proportion is an unbiased estimator of a population proportion OA No because the sample proportions and the population proportion are the same OB Yes because the sample proportions and the population proportion are not the same OC No because the sample proportions and the population proportion are not the same OP Yes because the sample proportions and the population proportion are the same Probability 0 25 0 5 0 25 Type integers or simplified fractions

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