Question
Use the formula for the standard error of $\hat{p}$ to explain why increasing the sample size decreases the standard error.
Step 1
The formula for the standard error of $\hat{p}$ is given by: SE($\hat{p}$) = $\sqrt{\frac{p(1-p)}{n}}$ where $p$ is the population proportion, $n$ is the sample size, and $\hat{p}$ is the sample proportion. Show more…
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