Calculate the 95% margin of error in estimating a binomial proportion p for the following sample size. Use p = 0.6 to calculate the standard error of the estimator. (Round your answer to three decimal...

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Extracted text: Calculate the 95% margin of error in estimating a binomial proportion p for the following sample size. Use p = 0.6 to calculate the standard error of the estimator. (Round your answer to three decimal places.) n = 2,000 In USE SALT Consider that for p = 0.6 and sample sizes of n = 30, n = 100, and n = 400 the margins of error are 0.175, 0.096, and 0.048 respectively. Comment on how an increased sample size affects the margin of error. O As the sample size increases the margin of error decreases. O As the sample size increases the margin of error remains relatively constant. O As the sample size increases the margin of error also increases.