Help, please??

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: No, it is not reasonable because the ME is 3.2% and the population proportion of 68% falls outside the sample interval of 61.8% ± 3.2%
B: Yes, it is reasonable because the ME is 6.4% and the population proportion of 68% falls within the sample interval of 61.8% ± 6.4%
C: 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%
D: Yes, it is reasonable because the ME is 5.6% and the population proportion of 68% falls within the sample interval of 61.8% ± 5.6%

It appears that people who are mildly obese are less active than leaner people. one study looked at the average number of minutes per day that people spend standing or walking. among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately normally distributed with mean 376 minutes and standard deviation 64 minutes. the mean number of minutes of daily activity for lean people is approximately normally distributed with mean 528 minutes and standard deviation 107 minutes. a researcher records the minutes of activity for an srs of 7 mildly obese people and an srs of 7 lean people. use z-scores rounded to two decimal places to answer the following: what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?