What happens to the standard error if the true population proportion is close to 0.5?

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Grade: Education Subject: Support
What happens to the standard error if the true population proportion is close to 0.5?
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The standard error is maximized when the true population proportion is close to 0.5. This is because p*(1-p) is largest when p = 0.5. This means the greatest variability in sample proportions occurs when the population proportion is around 50%.