When 2 births are randomly selected, the sample space for genders is bb, bg, gb and gg. Assume that those 4 outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from 2 births. Dies the mean of the sample proportions equal the proportion of girls in 2 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 1/2, the probability of having s girl is 1/2 and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion, (type integers or simplified fractions)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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When 2 births are randomly selected, the sample space for genders is bb, bg, gb and gg. Assume that those 4 outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from 2 births. Dies the mean of the sample proportions equal the proportion of girls in 2 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 1/2, the probability of having s girl is 1/2 and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion, (type integers or simplified fractions)

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