One hundred fifty-three of the 258 high school students surveyed at a local school say they went outside more during school hours as elementary school students than they do now as high school students. 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 63%?

Question

anonymous · Answer

Possible answers: 
Yes, it is reasonable because the ME is 6.1% and the population proportion of 59% falls within the sample interval of 63.0% ± 6.1%
No, it is not reasonable because the ME is 3.1% and the population proportion of 63% falls outside the sample interval of 59.3% ± 3.1%
Yes, it is reasonable because the ME is 6.1% and the population proportion of 63% falls within the sample interval of 59.3% ± 6.1%
No, it is not reasonable because the ME is 6.1% and the population proportion of 63% falls outside the sample interval of 59.3% ± 6.1%

kropot72 · Answer

@lydiasantos Are you sure that you have posted the complete question. To calculate the margin of error we need either the standard deviation for the population or the standard deviation for the sample.