+59 One hundred sixty-five of the 205 members surveyed at a local gym say they worked out more often when they were in their twenties than they did when they were teenagers. Calculate the margin of error (ME), rounded to the nearest tenth of a percent. Is it reasonable that the federal health department claims the percentage for the entire country is 88%? Justify your answer.
Yes, it is reasonable because the ME is 5.5% and the population proportion of 88% falls within the sample interval of 80.5% ± 5.5%
No, it is not reasonable because the ME is 2.8% and the population proportion of 81% falls outside the sample interval of 88.0% ± 2.8%
Yes, it is reasonable because the ME is 5.5% and the population proportion of 73% falls within the sample interval of 78.0% ± 5.5%
No, it is not reasonable because the ME is 5.5% and the population proportion of 88% falls outside the sample interval of 80.5% ± 5.5%
