Question

The employee benefits manager of a large public university would like to estimate the proportion of full-time employees who prefer adopting the first (plan A) of three available health care plans in the next annual enrollment period. A random sample of the university’s employees and their tentative health care preferences are given in the file Final.xlsx sheet named Health Care. Calculate a 95% confidence interval for the proportion of all the university’s employees who favor plan A. Round your I WII PAY ANYONE WHO ANSWERS THIS CORRECTLY $50 answer to 3 decimal places.

1 Emplbyee Classfication Favored Plan B Plan A Plan C Plan B Plan C Plan B Plan A Plan A Plan C Plan A Plan B Plan B 3 Plan A 2 Plan B 1 3 Plan A 2 Plan C 3 Plan B Plan A Plan A Plan A Plan B Plan B Plan B Plan A Plan C Plan A Plan B Plan B Plan B Plan B 2 Plan C 0 Plan C 1Plan 2 Plan A Plan C Plan B Plan B Plan A Plan C 100 105 3 2 Plan B Plan B Plan C Plan A Plan C Plan B Plan A Plan A 3 Plan A Plan B 2 Plan B 110 112 114 3 Plan A Plan A Plan A Plan B Plan B Plan B Plan B Plan B Plan B 2 2 Plan B 2 Plan B 3 119 121 2 Plan A Plan A Plan C Plan C Plan A Plan C Plan B Plan B Plan B Plan B Plan B Plan B Plan B Plan B Plan A Plan B Plan B Plan B Plan B 124 2 Plan A 126 2 1 Plan 131 Plan B Plan A Plan C Plan B 133 2 Plan B 140 Pian B Plan B Plan B Plan B Plan B Plan A 147 Plan B 148 Plan B 149 1Plan A 150 143 145

Answer 1

Total no. of em plogees Cn)s o No of employers oho favor plan Ax4 4 I SO The 95 7 confidence interva is, /2":1-36, at 20,025 0.2733 ± l , ge l o.2733Xo.7247 from 2-table 1S6 The Ss confidence intervo fox the pxopextion af all t.nl.rǐ$1.:1,'*. trie ОТС. \ヘ., f r 0.202, 0.345