When two births are randomly se- lected, the sample space for genders is bb, bg, gb, and gg (where b = boy and g = girl). Assume that those four outcomes are equally likely. Con- struct a table that describes the sam- pling distribution of the sample pro- portion of girls from two births. Does the mean of the sample pro- portions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a popula- tion proportion? 5. BIRTHS: SAMPLING DISTRIBU- TION OF SAMPLE PROPORTION Repeat Exercise 15 using three births instead of two births.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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When two births are randomly se-
lected, the sample space for genders
is bb, bg, gb, and gg (where b = boy
and g = girl). Assume that those four
outcomes are equally likely. Con-
struct a table that describes the sam-
pling distribution of the sample pro-
portion of girls from two births.
Does the mean of the sample pro-
portions equal the proportion of
girls in two births? Does the result
suggest that a sample proportion is
an unbiased estimator of a popula-
tion proportion?
16. BIRTHS: SAMPLING DISTRIBU-
TION OF SAMPLE PROPORTION
Repeat Exercise 150 using three
births instead of two births.
Transcribed Image Text:When two births are randomly se- lected, the sample space for genders is bb, bg, gb, and gg (where b = boy and g = girl). Assume that those four outcomes are equally likely. Con- struct a table that describes the sam- pling distribution of the sample pro- portion of girls from two births. Does the mean of the sample pro- portions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a popula- tion proportion? 16. BIRTHS: SAMPLING DISTRIBU- TION OF SAMPLE PROPORTION Repeat Exercise 150 using three births instead of two births.
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