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When two births are randomly selected the sample space for genders is bb bg gb...

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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 1 1 the probability of having a girl is assume the probability of having a boy is 2 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 and this is not 2 Probability 0 25 0 5 0 25 Type integers or simplified fractions Does the mean of the sample proportions equal the proportion of girls in two births 1 3 1 OA Yes both the mean of the sample proportions and the population proportion are OB Yes both the mean of the sample proportions and the population proportion are OC No the mean of the sample proportions and the population proportion are not equal D Yes both the mean of the sample proportions and the population proportion are 2 1

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