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Compute the proportion in the sample

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Reference no: EM132171748

A random sample of 540 second semester seniors from Boston-area colleges was selected last May by a colleague of mine at UMass Boston. Those selected were asked various questions about the courses they had taken. A total of 212 of the students had taken a statistics course.

(a) Compute the proportion in the sample that had taken a statistics course.

(b) Obtain a 90% confidence interval for the fraction of all second-semester seniors in the Boston area who had taken a statistics course.

(c) Provide the 'correct' interpretation of your interval.

(d) My colleague at UMass Boston offers to use the data in this study to provide you with a 90% confidence interval for the fraction of all female second-semester seniors in the Boston area who had taken a statistics course. Explain whether this interval will have a smaller or a larger margin of error than the one you computed in part (b) above.

Reference no: EM132171748

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