When Creating a Confidence Interval for a Proportion the Conservative $\hat{p}$

When creating a confidence interval for a proportion the conservative margin of error (studied in Chapter 5) and the margin of error found by taking 2 standard errors are closest to each other when

A) the true proportion p is close to 0.
B) the true proportion p is close to 1.
C) the true proportion p is close to .5.
D) the true proportion p is close to the sample proportion $\hat{p}$ .

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