The click-through rate for an advertisement on a web page is the percentage of visitors to that web page who click the link for the advertisement. Suppose you have sample data on the click-through rate for a website consisting of a random sample of visitors to that website. For each visitor i, you observe Ci which equals 1 if they clicked on the advertisement and 0 if they did not. Defined this way, C̅is the sample mean and represents the click-through rate for the sample. Suppose the sample size is 2,271, the sample mean is 0.12, and the sample standard deviation is 0.325. (LO3) a. Calculate a 90% confidence interval for the population mean, i.e., the click-through rate for the entire population of visitors to this website. b. Explain what this confidence interval means. c. Suppose your sample consists of 17 people instead of 2,271. How does this affect your ability to use a confidence interval?
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