n a survey of 777 randomly selected California residents, 420 that marijuana should be legal for recreational use by adults. a) Find a 98% confidence interval for the proportion of all California residents who believe that marijuana should be legal for recreational use by adults. ( 5 points ) b) Soon you'll perform a hypothesis test to see whether this provides statistically significant evidence that most California residents believe that marijuana should be legal for recreational use by adults. Note that "most" would mean that p > .5000 ; explain what happens if this test results in a Type II error. Don't just give the definition of a Type II error here, explain in terms specific to this problem. ( 5 points ) c) Perform the hypothesis test. See the end of the second page of formulas to see what you're expected to show. ( 25 points ) Xtra Cr) How many people must be surveyed to get a 95% confidence interval for p which has a maximum error estimate (which I've generally called E and your text calls the EBP) of .01? ( 2 points )