Mathematics, 05.03.2021 21:40 mathfan5049

The proportion of twins born in a town is p = 0.12. Suppose we randomly select 100 women from this town who give birth in the next year. Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat ?

Sigma Subscript p hat Baseline = 0.001 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.001 from the true proportion, p = 0.12.
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.
Sigma Subscript p hat Baseline = 0.035 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.035 from the true proportion, p = 0.12.
Sigma Subscript p hat Baseline = 0.106 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.106 from the true proportion, p = 0.12.

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The proportion of twins born in a town is p = 0.12. Suppose we randomly select 100 women from this t...