Consider Sampling from a Population Whose Proportion of Successes Is $p = 0.1$

question 16

Essay

Consider sampling from a population whose proportion of successes is $p = 0.1$ . As the sample size, $n$ , increases, some characteristics of the sampling distribution of $\hat { p }$ change. Which of the following characteristics will change as $n$ increases, and what is the nature of the change?
a) The mean of the sampling distribution of $\hat { p }$
b) The standard deviation of the sampling distribution of $\hat { p }$
c) The shape of the sampling distribution of $\hat { p }$

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