Answer :
Answer:
B. Sigma Subscript p hat Baseline = 0.032 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, p = 0.12.
Step-by-step explanation:
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The correct calculation and interpretation of the standard deviation of the sampling distribution of p hat is the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, 0.12.
What is random sample?
Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
The standard deviation of the sampling distribution of p hat is given as,
[tex]\sigma_{ \hat p}=\sqrt\dfrac{p(1-p)}{n}[/tex]
Here, p is the proportion and n is the number of sample.
The proportion of twins born in a town is p = 0.12. Now there is randomly select 100 women from this town who give birth in the next year.
[tex]\sigma_{ \hat p}=\sqrt{\dfrac{0.12(1-0.12)}{100}}\\\sigma_{ \hat p}=\sqrt{0.001056}\\\sigma_{ \hat p}=0.032[/tex]
Thus, the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat is the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, 0.12.
Learn more about the random sample here;
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