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 1/2​,the probability of having a 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.   Sample proportion of girls             Probability ___                                                   ___ ___                                                   ___ ___                                                   ___   ​(Type integers or simplified​ fractions.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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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 1/2​,the probability of having a 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.
 
Sample proportion of girls             Probability
___                                                   ___
___                                                   ___
___                                                   ___
 
​(Type integers or simplified​ fractions.)
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