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In three math literacy classes, 42 out of 87 students reported their enrollment status as full-time. Their instructor, Jeff Lacks, would like to estimate

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In three math literacy classes, 42 out of 87 students reported their enrollment status as full-time. Their instructor, Jeff Lacks, would like to estimate the proportion of all math literacy students who are enrolled full-time with 95% confidence. a. Use Jeff's data to construct a 95% confidence interval for the proportion of algebra students who are enrolled full-time. (Be sure to write a meaningful conclusion.) b. Jeff's colleagues are interested in his results, but they'd like a more accurate estimate. To decrease his margin of error, how should Jeff adjust his i. ii. sample size (while still using the confidence level 95%)? confidence level (still with sample size n = 87)?

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