According to a 2019 poll from Public Policy Polling, 4% of American voters believe that shape-shifting reptilian people control our world by taking on human form and gaining power. Yes, you read that correctly! (This was a poll about conspiracy theories.) Assume that’s the actual proportion of Americans who hold that belief. 1) That same poll found that 51% of American voters believe there was a larger conspiracy responsible for the assassination of President Kennedy. Use a binomial model to calculate the probability that, in a random sample of 700 people, no more than 57% of those in the sample believe in the JFK conspiracy theory.

2) Now use a Normal model to compute that probability.​