A recent Monmouth University poll found that 675 out of 1008 randomly selected people in the United States felt that college and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for using the CLT were met, use the Minitab output provided to answer these questions.

a. Complete this sentence: I am 95% confident that the population proportion believing that colleges and universities with big sports programs place too much emphasis on athletics over academics is between _____ and _____. Report each number as a percentage rounded to one decimal place.

b. Suppose a sports blogger wrote an article claiming that the majority of Americans believe that colleges and university with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger’s claim? Explain your reasoning.

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Descriptive Statistics N Event Sample p 675 0.669643 (0.639648, 0.698643) 95% CI for p 1008