For a given sample size, the sampling distribution of $\hat{ p}$ tends to be morespread out as p gets closer to 1.0.

Name: For a given sample size, the sampling distribution of $\hat{ p}$ tends to be morespread out as p gets closer to 1.0.
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Question

Quizplus · Accepted Answer

The spread of the sampling distribution of $\hat{p}$ is determined by the standard deviation $\sqrt{\frac{p(1-p)}{n}}$, which is maximized when $p = 0.5$, not when $p$ is closer to 1.0.

For a Given Sample Size, the Sampling Distribution Of p^\hat{ p}p^​

For a Given Sample Size, the Sampling Distribution Of $\hat{ p}$