Question

WHEEL! OF! STATISTICAL INFERENCE The wheel from the Wheel of Fortune is pictured below. There are many who say that the wheel must be fixed, because contestants land on backrupt too often. But how often is tooten? Complete the steps listed below to do an analysis of the wheel. Is the game fair? Let's find out! S $S 0 S ason Part I: Confidence Interval Watch 4 ul episodes of Wheel of Fortune. Record each spin as either Bankrupt or "Not Bankrup Find you landed on Bankrupt value by finding the proportion of spins that Find a 99% confidence interval for the true proportion of spins that will land on bankrupt

Answer 1

p hat = X/n; where X is the number of spins that landed on Bankrupt and n is the total spins

p-hat = 25/40 = 0.625

p-hat in lieu of p. sigma-p-hat = p(1-p)/n)^.5 = (0.62 * 0.38/40)^.5 = 0.077

The z score of 99% confidence interval is 2.58

therefore, 99% confidence interval for p is:

(0.62 - 2.58*0.077, 0.62 + 2.58*0.077) = (0.42, 0.82)