191 of the 288 high school students surveyed at a local school said they went outside more during the school hours as elementary school students than they do now as high school students. Calculate the Margin of Error. Is is reasonable that the state education department claims the percentage for the entire state is 73%?
A. Yes, it is reasonable because the Margin of Erros is 5.6% and the population proportion is 66% falls with in the sample interval of 73% + 5.9%
B. No, it is not reasonable because the Margin or Error is 4.3% and the population proportion of 73% falls outside the sample interval of 66.3% + 4.3%
C. Yes, it is reasonable because the Margin of Error is 2.8% and the population proportion of 73% falls with in the sample interval of 66.3% + 2.8%
D. No, it is not reasonable because the Margin of Error is 5.6% and the population proportion or 73% falls outside the sample interval of 66.3% + 5.6%