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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 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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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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
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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