of the sample proporions equal proportion O 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. OC. Yes, both the mean of the sample proportions and the population proportion are O D. Yes, both the mean of the sample proportions and the population proportion are .

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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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
1
having a boy is
the probability of having a girl is
2
and this is not affected by how many boys or girls have previously been born.
2
Determine the probabilities of each sample proportion.
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?
O A. Yes, both the mean of the sample proportions and the population proportion are
O 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
O D. Yes, both the mean of the sample proportions and the population proportion are
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 1 having a boy is the probability of having a girl is 2 and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. 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? O A. Yes, both the mean of the sample proportions and the population proportion are O 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 O D. Yes, both the mean of the sample proportions and the population proportion are
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