+46 One hundred forty-one of the 228 high school students surveyed at a local school say they plan on taking some form of postsecondary education. Calculate the margin of error (ME), rounded to the nearest tenth of a percent. Is it reasonable that the state education department claims the percentage for the entire state is 68%? Justify your answer.
A. Yes, it is reasonable because the ME is 5.6% and the population proportion of 68% falls within the sample survey interval of 61.8% + 5.6%
B. No, it is not reasonable because the ME is 3.2% and the population proportion of 68% falls outside the sample survey interval of 61.8% + 3.2%
C. Yes, it is reasonable because the ME is 6.4 and the population proportion of 68% falls within the sample survey interval of 61.8% + 6.4%
D. No, it is not reasonable because the ME is 6.4% and the population proportion of 63% falls outside the sample interval of 61.8% + 6.4%
