Mathematics

America Petersen

12 July, 18:12

One hundred forty-one of the 224 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 interval of 62.9% ± 5.6%

B: No, it is not reasonable because the ME is 3.2% and the population proportion of 68% falls outside the sample interval of 62.9% ± 3.2%

C: Yes, it is reasonable because the ME is 6.5% and the population proportion of 68% falls within the sample interval of 62.9% ± 6.5%

D: No, it is not reasonable because the ME is 6.5% and the population proportion of 63% falls outside the sample interval of 68.0% ± 6.5%