A population consists of N=7 numbers 1, 2, 2, 3, 4, 5, and XX. Draw all possible samples
of size n=3 without replacement from this population and find the sample proportion of
odd numbers in the samples. Construct the sampling distribution of sample proportion
and verify ππΜ = π and π
2
πΜ =
ππ
π
.
πβπ
πβ1
where π = 1 β π
Let XX= 5
Population: 1, 2, 2, 3, 4, 5, 5
N=7
Number of odd numbers =4
Proportion of odd numbers:
n=3
Number of samples
Sampling distribution of sample proportion πΜ
Mean of sample proportion:
Variance of sample proportion:
Variance of sample proportion:
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