1. Support for the U.S. death penalty for convicted murderers was 63% in 2014 (Gallup poll results 2018). In a recent survey of 150 randomly selected U.S. adults, 75 said they were in favor of the death penalty for those convicted of murder. Does this sample appear to come from a population with a lower proportion in favor of the death penalty? a) State the null and alternative hypotheses in words. Use complete sentences. b) State the null and alternative hypotheses using symbols. c) What type of test is this? d) Say that a = 0.05, what does this mean. Explain in the context of the problem. Use complete sentence(s). e) What would it mean to make a type II error? Explain in the context of this problem. f) Use a 0.05 significance level to test the claim. State your conclusion AND interpret your results.