According to a 2017 Gallup poll, 572 out of 1021 randomly selected smokers polled believed they are discriminated against in public life or in employment because of their smoking.

a. What percentage of the smokers polled believed they are discriminated against because of their smoking?

b. Check the conditions to determine whether the CLT can be used to find a confidence interval.

c. Find a 95% confidence interval for the population proportion of smokers who believe they are discriminated against because of their smoking.

d. Can this confidence interval be used to conclude the majority of Americans believe smokers are discriminated against because of their smoking? Why or why not?