The proportion of twins born in a town is p is equal to 0 point 1 2 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 hat p ?

The standard deviation of the sampling distribution of a sample proportion is √[p(1 − p)/n]. Substituting p = 0.12 and n = 100 gives √[(0.12)(0.88)/100] = √0.001056 ≈ 0.032. Thus, in repeated samples of 100 births, the sample proportion typically differs from the true proportion by about 0.032, so choice C is correct.

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