All changes saved 11. 232 of the 358 high school students surveyed at a local school said they plan on taking some form of post-secondary education. Calculate the
Margin of Error, 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.

Hint: M. E.= +2 x 20), where ø is the yes proportion in the sample and N is the sample size

No, it is not reasonable because the Margin of Error is 5.0% and the population proportion of 65% falls outside the sample interval of
73.3% +5.0%

Yes, it is reasonable because the Margin of Error is 6.3% and the population proportion of 68% falls within the sample interval of 64.8% + 6.3%

No, it is not reasonable because the Margin of Error is 2.5% and the population proportion of 68% falls outside the sample interval of
64.8% +2.5%

Yes, it is reasonable because the Margin of Error is 5.0% and the population proportion of 68% falls within the sample interval of 64.8% + 5.0%