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According to the National Collegiate Athletic Association (NCAA), 41% of male basketball players graduate within 6 years of enrolling in their college or university, compared to 56% for the student body as a whole. A random sample of two hundred male basketball players who enrolled in New England colleges and universities six years ago, showed 15 students were still enrolled and ninety-two had already graduated. Using the 0.10 level of significance, does the graduation rate for male basketball players from schools in this region differ significantly from the national average? (a) State the null and alternative hypothesis. (b) What is the rejection rule? (c) Calculate the appropriate test statistic. (d) In terms of the question, what statistical decision do you make? (e) Construct and interpret the 90% confidence interval. (f) Is the hypothesized value within the interval? (9) Given the presence or absence of the hypothesized value within the interval, is this consistent with the findings of the hypothesis test