Determine the sampling error for the proportion of customers who own less than 385 if the population and sample data are listed below. Population N = 150 4 11 14 18 24 27 28 29 36 38 40 43 46 58 61 67 68 69 78 78 81 83 90 92 93 94 99 99 100 111 111 111 112 113 122 128 129 131 132 137 137 144 144 153 155 156 158 159 159 161 167 169 171 175 177 180 180 185 198 201 205 205 209 213 214 214 215 223 227 229 231 235 235 237 239 244 247 247 262 264 264 267 271 274 275 277 278 288 289 292 296 302 302 304 304 304| 310 315 328 336 340 352 353 354 359 361 362 363 364 374 378 378 379 380 381 390 395 395 401 407 408 411 421 423 424 424 430 430 442 452 452 461 468 469 472 473 476 478 479 480 484 484 484 487 490 494 495 497 498 Sample n = 25 4 28 46 61 81 90 93 131 137 180 180 201 215 223 227 235 278 310 | 362 363 379 395 452 | 469 490 a) What is the population proportion? (Round to 4 decimal places) b) What is the sample proportion? (Round to 4 decimal places) c) What is the sampling error? (Round to 4 decimal places)

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Determine the sampling error for the proportion of customers who own less than 385 if the population and
sample data are listed below.
Population N = 150
4
11
14
18
24
27
28
29
36
38
40
43
46
58
61
67
68
69
78
78
81
83
90
92
93
94
99
99
100
111
111
111
112
113
122
128
129
131
132
137
137
144
144
153
155
156
158
159
159
161
167
169
171
175
177
180
180
185
198
201
205
205
209
213
214
214
215
223
227
229
231
235
235
237
239
244
247
247
262
264
264
267
271
274
275
277
278
288
289
292
296
302
302
304
304
304
310
315
328
336
340
352
353
354
359
361
362
363
364
374
378
378
379
380
381
390
395
395
401
407
408
411
421
423
424
424
430
430
442
452
452
461
468
469
472
473
476
478
479
480
484
484
484
487
490
494
495
497
498
Sample n = 25
4
28
46
61
81
90
93
131
137
180
180
201
215
223
227
235
278
310
362
363
379
395
452
469
490
a) What is the population proportion?
(Round to 4 decimal places)
b) What is the sample proportion?
(Round to 4 decimal places)
c) What is the sampling error?
(Round to 4 decimal places)
万一
Transcribed Image Text:Determine the sampling error for the proportion of customers who own less than 385 if the population and sample data are listed below. Population N = 150 4 11 14 18 24 27 28 29 36 38 40 43 46 58 61 67 68 69 78 78 81 83 90 92 93 94 99 99 100 111 111 111 112 113 122 128 129 131 132 137 137 144 144 153 155 156 158 159 159 161 167 169 171 175 177 180 180 185 198 201 205 205 209 213 214 214 215 223 227 229 231 235 235 237 239 244 247 247 262 264 264 267 271 274 275 277 278 288 289 292 296 302 302 304 304 304 310 315 328 336 340 352 353 354 359 361 362 363 364 374 378 378 379 380 381 390 395 395 401 407 408 411 421 423 424 424 430 430 442 452 452 461 468 469 472 473 476 478 479 480 484 484 484 487 490 494 495 497 498 Sample n = 25 4 28 46 61 81 90 93 131 137 180 180 201 215 223 227 235 278 310 362 363 379 395 452 469 490 a) What is the population proportion? (Round to 4 decimal places) b) What is the sample proportion? (Round to 4 decimal places) c) What is the sampling error? (Round to 4 decimal places) 万一
Expert Solution
Step 1

The proportion of favorable outcomes can be calculated by dividing the number of favorable outcomes with the total number of outcomes.

                                Proportion of favorable outcomes=Number of favorable outcomesTotal number of outcomes

 

The estimation of the population proportion on the basis of the sample proportion involves some error. This error is the sampling error. It can be given by the difference between the sample proportion and the population proportion.

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