I just need help with part H the rest are correct A poll showed that when a samp

Question

I just need help with part H the rest are correct A poll showed that when a sample of people in a certain country were asked whether they were thriving or suffering about 37% said they were thriving Complete parts (a) through (h) below. The 95% confidence interval is (0.353 0.387). (Round to three decimal places as needed.) g. What is the width of the interval you found in part (f)? The width of the interval is 0.034 (Round to three decimal places as needed.) h When the sample size is multiplied by 4 (as it was here, going from 800 to 3200), is the interval width decreased by a factor of 4? In other words, is the interval for the larger sample size one-fourth (1/4) of the interval for the smaller sample size? If not, what is it divided by? Select the choice below and if necessary fill in the answer box to complete your choice. A No, when the sample size is multiplied by 4, the interval width is divided by (Round to the nearest integer as needed.) B. Yes, when the sample size is multiplied by 4, the interval width decreased by a factor of 4.

Explanation / Answer

as intercal width is inversely proportional to square root of sample size.

hence the interval width is divided by 2

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