Companies pay large amounts of money to make sure their Web sites are highly ranked on Google. Advanced Web Ranking reported that if your Web site is the very first search result on Google, desktop users will click on that result

32% of the time (this is called a click-through rate). Suppose that a certain company asks its Web manager to report the company's click-through rate. He conducts a random sample of 563 users and reports a click-through rate of 46%. Does this sample give the company reason to believe its results are working better than usual? Or could this just be a lucky result?

a)Determine the hypotheses for this test

b)Calculate the test statistic z=

c)Find the P-value

d)State the conclusion of the test