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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. Sample proportion of girls Probability 0.25 0.5 0.5 1 0.25 (Type integers or simplified fractions. Does the mean of the sample proportions equal the proportion girls in two births? A. Yes, both the mean of the sample proportions and the population proportion are . 2 O B. No, the mean of the sample proportions and the population proportion are not equal. Oc. Yes, both the mean of the sample proportions and the population proportion are . 1 O D. Yes, both the mean of the sample proportions and the population proportion are 3 Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? O A. No, because the sample proportions and the population proportion are not the same. O B. No, because the sample proportions and the population proportion are the same. OC. Yes, because the sample proportions and the population proportion are not the same. OD. Yes, because the sample proportions and the population proportion are the same.

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. Sample proportion of girls Probability 0.25 0.5 0.5 1 0.25 (Type integers or simplified fractions. Does the mean of the sample proportions equal the proportion girls in two births? A. Yes, both the mean of the sample proportions and the population proportion are . 2 O B. No, the mean of the sample proportions and the population proportion are not equal. Oc. Yes, both the mean of the sample proportions and the population proportion are . 1 O D. Yes, both the mean of the sample proportions and the population proportion are 3 Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? O A. No, because the sample proportions and the population proportion are not the same. O B. No, because the sample proportions and the population proportion are the same. OC. Yes, because the sample proportions and the population proportion are not the same. OD. Yes, because the sample proportions and the population proportion are the same.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 1 the probability of having a girl is 1 having a boy is and this is not affected by how many boys or girls have previously been born. 2' 2' Sample proportion of girls Probability 0.25 0.5 0.5 1 0.25 (Type integers or simplified fractions.) Does the mean of the sample proportions equal the proportion of girls in two births? 1 A. Yes, both the mean of the sample proportions and the population proportion are 2 B. No, the mean of the sample proportions and the population proportion are not equal. 1 C. Yes, both the mean of the sample proportions and the population proportion are 4 1 D. Yes, both the mean of the sample proportions and the population proportion are 3 Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? A. No, because the sample proportions and the population proportion are not the same. B. No, because the sample proportions and the population proportion are the same. C. Yes, because the sample proportions and the population proportion are not the same. D. Yes, because the sample proportions and the population proportion are the same.
Transcribed Image Text: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 1 the probability of having a girl is 1 having a boy is and this is not affected by how many boys or girls have previously been born. 2' 2' Sample proportion of girls Probability 0.25 0.5 0.5 1 0.25 (Type integers or simplified fractions.) Does the mean of the sample proportions equal the proportion of girls in two births? 1 A. Yes, both the mean of the sample proportions and the population proportion are 2 B. No, the mean of the sample proportions and the population proportion are not equal. 1 C. Yes, both the mean of the sample proportions and the population proportion are 4 1 D. Yes, both the mean of the sample proportions and the population proportion are 3 Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? A. No, because the sample proportions and the population proportion are not the same. B. No, because the sample proportions and the population proportion are the same. C. Yes, because the sample proportions and the population proportion are not the same. D. Yes, because the sample proportions and the population proportion are the same.
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