Question: Given the cost and time commitment, your friend is only interested in getting an MBA if that would help in getting a promotion and/or a
Given the cost and time commitment, your friend is only interested in getting an MBA if that would help in getting a promotion and/or a higher pay. You are helping your friend to make this decision and have gathered data on several firms with information on how many of the employees in the top 50 of the highest paid have an MBA. Based on your data:
| Firm | Total # of Employees | # of Employees with an MBA in Top 50 |
| 1 | 183 | 23 |
| 2 | 368 | 30 |
| 3 | 246 | 43 |
| 4 | 204 | 24 |
| 5 | 204 | 28 |
| 6 | 387 | 34 |
| 7 | 331 | 20 |
| 8 | 304 | 43 |
| 9 | 119 | 29 |
| 10 | 214 | 38 |
| 11 | 119 | 35 |
| 12 | 124 | 27 |
| 13 | 368 | 33 |
| 14 | 356 | 36 |
| 15 | 173 | 30 |
| 16 | 187 | 38 |
| 17 | 182 | 24 |
| 18 | 352 | 35 |
| 19 | 301 | 22 |
| 20 | 248 | 21 |
| 21 | 249 | 29 |
| 22 | 402 | 40 |
| 23 | 141 | 20 |
| 24 | 168 | 37 |
| 25 | 255 | 41 |
| 26 | 374 | 21 |
| 27 | 239 | 35 |
| 28 | 131 | 33 |
| 29 | 314 | 30 |
| 30 | 172 | 21 |
| 31 | 126 | 28 |
| 32 | 155 | 25 |
| 33 | 373 | 38 |
| 34 | 119 | 35 |
| 35 | 212 | 28 |
| 36 | 368 | 35 |
| 37 | 224 | 24 |
| 38 | 481 | 41 |
| 39 | 217 | 23 |
| 40 | 334 | 40 |
| 41 | 368 | 34 |
| 42 | 124 | 20 |
| 43 | 159 | 27 |
| 44 | 263 | 36 |
| 45 | 262 | 38 |
| 46 | 158 | 34 |
| 47 | 173 | 32 |
| 48 | 163 | 28 |
| 49 | 189 | 25 |
| 50 | 243 | 42 |
| 51 | 205 | 36 |
| 52 | 192 | 33 |
| 53 | 315 | 43 |
| 54 | 163 | 41 |
| 55 | 118 | 23 |
| 56 | 171 | 20 |
| 57 | 156 | 39 |
| 58 | 147 | 20 |
| 59 | 119 | 21 |
| 60 | 187 | 25 |
| 61 | 237 | 29 |
| 62 | 121 | 31 |
| 63 | 188 | 24 |
| 64 | 476 | 42 |
| 65 | 174 | 38 |
| 66 | 389 | 25 |
| 67 | 283 | 22 |
| 68 | 124 | 42 |
| 69 | 225 | 34 |
| 70 | 175 | 38 |
| 71 | 132 | 31 |
| 72 | 268 | 33 |
| 73 | 168 | 37 |
| 74 | 386 | 25 |
| 75 | 300 | 35 |
| 76 | 220 | 31 |
| 77 | 180 | 28 |
| 78 | 137 | 42 |
| 79 | 225 | 43 |
| 80 | 230 | 30 |
| 81 | 406 | 43 |
| 82 | 274 | 22 |
| 83 | 235 | 32 |
| 84 | 314 | 39 |
| 85 | 255 | 30 |
| 86 | 255 | 39 |
| 87 | 235 | 29 |
| 88 | 208 | 27 |
| 89 | 226 | 40 |
| 90 | 261 | 25 |
| 91 | 318 | 27 |
| 92 | 393 | 30 |
| 93 | 288 | 27 |
| 94 | 162 | 31 |
| 95 | 167 | 31 |
| 96 | 226 | 39 |
| 97 | 225 | 38 |
| 98 | 121 | 40 |
| 99 | 135 | 32 |
| 100 | 166 | 42 |
1. What is thestandard error for the overall proportion of top 50 employees with an MBA?
2. What is the upper boundfor the 95%confidence interval of overall proportion of top 50 employees with an MBA?
3.The overallproportionof firms which have more than 60% employees with an MBA in their top 50 list is ________%.
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