The 2008 General Social Survey asked, “What do you think is the ideal number of children for a family to have?” The 678 females who responded had a median of 2, mean of 3.22, and standard deviation of 1.99. Determine whether the following statements are true or false, and explain your reasoning. (a) The margin of error of the 99% confidence interval (3.02, 3.42) is 0.2. (b) In order to decrease the margin of error of a 99% confidence interval by half, we would need to use a sample twice as large. (c) A 95% confidence interval would be narrower than the 99% confidence interval since we don’t need to be as sure about our estimate.

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The 2008 General Social Survey asked, “What do you think is the ideal number of children for a family to have?” The 678 females who responded had a median of 2, mean of 3.22, and standard deviation of 1.99.

Determine whether the following statements are true or false, and explain your reasoning.

(a) The margin of error of the 99% confidence interval (3.02, 3.42) is 0.2.

(b) In order to decrease the margin of error of a 99% confidence interval by half, we would need to use a sample twice as large.

(c) A 95% confidence interval would be narrower than the 99% confidence interval since we don’t need to be as sure about our estimate.

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