Why does the margin of error increase as the level of confidence increases? Choose the correct answer below. A. The margin of error increases as the level of confidence increases because of the law of large numbers. B. The margin of error increases as the level of confidence increases because, as the level of confidence increases, the sample size n decreases. C. The margin of error increases as the level of confidence increases because the smaller the expected proportion of intervals that will contain the parameter, the larger the margin of error. D. The margin of error increases as the level of confidence increases because the larger the expected proportion of intervals that will contain the parameter, the larger th

Question

21-04-2020
Mathematics

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Why does the margin of error increase as the level of confidence increases? Choose the correct answer below. A. The margin of error increases as the level of confidence increases because of the law of large numbers. B. The margin of error increases as the level of confidence increases because, as the level of confidence increases, the sample size n decreases. C. The margin of error increases as the level of confidence increases because the smaller the expected proportion of intervals that will contain the parameter, the larger the margin of error. D. The margin of error increases as the level of confidence increases because the larger the expected proportion of intervals that will contain the parameter, the larger th

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Answer:

The margin of error increases as the level of confidence increases because the larger the expected proportion of intervals that will contain the parameter, the larger the margin error.

Step-by-step explanation:

Margin of Error is a statistical measure of random sampling error insurvey results.

Level of confidence reflects percentage range around sample mean, that can be expected to contain population actual parameter.

High level of confidence means larger range band of confidence interval, supposed to contain the population parameter. This further implies high expected variation between sample statistic & actual parameter i.e Margin Error increases.