Nine percent of americans say they are well informed about politics in comparison to most people. You randomly sample 200 americans and ask if they believe that they are well informed about politics in comparison to most people. What is the probability that less than 8% of the people sampled will answer yes to the question?

Answer:Step-by-step explanation:Using normal distributionz = (x - mean) / standard deviationNine percent of americans say they are well informed about politics in comparison to most people.That means probability of success is p =9/100 = 0.09, then probability of failure is q = 1-p =1 -0.09= 0.91n = number of sample = 200x=(8% of 200) = 0.08×200 =16mean = np = 200×0.09= 18Standard deviation = npq = 200×0.09×0.91= 16.38We are looking for the probability that less than 8% of the people sampled will answer yes to the question8% of 200 = 16P (x greater than 16) =P(x lesser than/equal to 15)z = 15-18 /16.38 = -3/16.38= -0.18Looking at the normal distribution tableP(x greater than 16) = 0.5714