Background data: "Only 25% of people prefer my pizza!?" Clark exclaims in disbelief. Livid once again, he vows to fight Lex with data. He hatches a plan to assemble his own focus group for a blind taste test.

Question: Clark assembles a focus group of 36 people, and finds that 13 of them prefer Clark's pizza. Based on this result, perform a hypothesis test to see whether Clark has compelling evidence that more than one-fourth of people prefer his pizza to Lex's. That is, test H0: = 0.25 vs. Ha: > 0.25 Show all relevant calculations, draw a picture, and explain how you reached your conclusion. Give your conclusion in terms of the statement of the problem. What is the prob-value for the test? Perform your test at the 5% significance level.

Please use excel functions to answer the question. Please show all excel formulas, charts, and calculations used to get the answer.