When comparing two separate surveys that were conducted to address the same issu

Question

When comparing two separate surveys that were conducted to address the same issue, you notice that survey 1 has a greater sampling fraction, n/N, than survey 2 (In other words, n_1/N_1 > n_2/N_2, and the ni and N_i do not have to be equal because the surveys used different frames). The standard deviation, s, however, was the same in the two surveys. From this information can we conclude that survey 1 will have a lower error bound for the sample mean than survey 2? Briefly explain your answer,

Explanation / Answer

It will not be correct to conclude that survey 1 has lower error bound as higher sampling fraction is represenatative of the degree of the confidence. Higher the people participating as percentage of the population higher will be the the degree of the confidence of the result. But the margin of error is not related to this.

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