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 1 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. 2

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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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.
2
2
Determine the probabilities of each sample proportion.
Sample proportion of girls
Probability
▼
▼
▼
(Type integers or simplified fractions.)
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8:40 AM
4/29/2022
Transcribed Image Text:2 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. 2 2 Determine the probabilities of each sample proportion. Sample proportion of girls Probability ▼ ▼ ▼ (Type integers or simplified fractions.) 65°F Sunny pit so ( W # 3 E ‒‒ F4 Q $ 4 R FS o a D % 5 F6 T A 6 33 Y & 0 7 U ★ 8 1 9 O P 4 ( 8:40 AM 4/29/2022
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ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning