In: Statistics and Probability
John Wayne Like many others, the famous actor John Wayne died of cancer. But is there more to this story? In 1955, Wayne was in Utah shooting the film The Conquerer. Across the state line, in Nevada, the US military was testing atomic bombs. Radioactive fallout from those tests drifted across the filming location. A total of 46 of the 220 people working on the film eventually died of cancer.The death rate from cancer in that era was about 14% (0.14). A question is whether the death rate in the crew was unusually high. a. (1 mark) What are the hypotheses? b. Assuming this is a random sample of people who are exposed to this level of fallout, calculate a 95% confidence interval for the cancer rate. c. Calculate the P-value for testing whether the death rate was unusually high. d. Is there strong evidence that it is unusually high? Use the confidence interval and P-value to justify your conclusion.