1. 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) sample size (while still using the confidence level 95%)?

ii) confidence level (still with sample size n = 87)?

PLEASE INCLUDE STEP BY STEP EXPLANATION!

THANK YOU KINDLY<3