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 ofthe 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 of1the probability of having a girl is, and this is not affected by how many boys or girls have previously beena population proportion? For the entire population, assume the probability of having a boy is11/132born.Determine the probabilities of each sample proportion.Sample proportion of girlsProbability(Type integers or simplified fractions.)

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Answered: Determine the probabilities of each…

Determine the probabilities of each sample proportion. Sample proportion of girls ▼ ▼ Probability D (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

Problem 19PFA

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Question

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
1
the probability of having a girl is, and this is not affected by how many boys or girls have previously been
a population proportion? For the entire population, assume the probability of having a boy is
11/13
2
born.
Determine the probabilities of each sample proportion.
Sample proportion of girls
Probability
(Type integers or simplified fractions.)

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