9.

9. (6 points) A pharmaceutical company claims that its new flu vaccine is effective more than 60% of the time. The company collected a random sample of 250 people who got its new flu vaccine and found 160 of them were protected against the flu. a) [1] Define the parameter of interest. Use a symbol and describe it in the context of the question. b) [1] State the null and alternative hypotheses to verify the claim. c) [3] Calculate the p-value of this test and state your conclusion from the test in the context of the problem. Use a 5% significance level. d) [1] Show the calculated p-value in (c) in a graph