3.According to a Gallup poll conducted in September 2016, “64.2% of U.S. adults report that they ate healthyall day ” Results are based on telephone interviews conducted as part of the Gallup-...

3.According to a Gallup poll conducted in September 2016, “64.2% of U.S. adults report that they ate healthyall day ”

Results are based on telephone interviews conducted as part of the Gallup- Healthways Well-Being Index survey, with a random sample of 2,415,499 adults, aged 18 and older, living in all 50 U.S. states and the District of Columbia. For results based on the total sample of national adults, the margin of sampling error   is ± .08 percentage points at the 95 percent confidence level.

a)Construct a confidence interval to estimate the proportion of U.S. adults who ate healthy

b)Interpret your confidence

c)This is a very precise confidence interval with a very, very small margin of error (0.08% is less than 1/10 of one percent). Why do you think the margin of error is so small for this poll?

d) what is the purpose of a confidence interval?