1 A leading medical journal claims that 39% of young adults play organized sports. A physician wants to conduct a survey to verify this with her young adult patients and wants to do so with a margin of error (ME) of 5%. What minimum sample size, rounded to the nearest whole person, does the physician need to use?

N 381

N 400

N 354

N 24

2 One hundred sixty-five of the 225 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 78%? Justify your answer.

Yes, it is reasonable because the ME is 5.9% and the population proportion of 78% falls within the sample interval of 73.3% 5.9%

No, it is not reasonable because the ME is 2.9% and the population proportion of 78% falls outside the sample interval of 73.3% 2.9%

Yes, it is reasonable because the ME is 5.9% and the population proportion of 73% falls within the sample interval of 78.0% 5.9%

No, it is not reasonable because the ME is 4.3% and the population proportion of 78% falls outside the sample interval of 73.3% 4.3%