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 eror? (Round to 4 decimal places)

A First Course in Probability (10th Edition)
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Determine the sampling error for the proportion of customers who own less than 171 if the population and
sample data are listed below.
Population N = 150
6
8
8
18
21
25
31
34
40
42
43
46
46
49
51
57
57
60
64
66
68
69
75
80
81
81
85
87
92
93
96
98
98
99
110
116
119
124
128
129
131
132
133
134
150
150
151
152
161
165
166
171
174
176
179
180
181
182
198
198
199
202
205
209
210
212
213
215
216
234
235
242
246
253
261
265
269
270
271
274
274
275
276
286
287
290
297
300
301
301
306
308
310
312
313
320
321
326
327
331
332
333
337
340
341
343
344
347
347
350
350
357
365
366
371
373
376
380
381
385
385
386
388
390
391
392
398
400
400
409
412
414
415
425
427
427
430
434
436
439
440
446
451
458
469
471
476
487
493
500
Sample n = 25
40
46
49
51
81
150
161
165
176
179
202
209
274
274
286
341
347
350
357
366
380
381
386
388
451
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)
Transcribed Image Text:Determine the sampling error for the proportion of customers who own less than 171 if the population and sample data are listed below. Population N = 150 6 8 8 18 21 25 31 34 40 42 43 46 46 49 51 57 57 60 64 66 68 69 75 80 81 81 85 87 92 93 96 98 98 99 110 116 119 124 128 129 131 132 133 134 150 150 151 152 161 165 166 171 174 176 179 180 181 182 198 198 199 202 205 209 210 212 213 215 216 234 235 242 246 253 261 265 269 270 271 274 274 275 276 286 287 290 297 300 301 301 306 308 310 312 313 320 321 326 327 331 332 333 337 340 341 343 344 347 347 350 350 357 365 366 371 373 376 380 381 385 385 386 388 390 391 392 398 400 400 409 412 414 415 425 427 427 430 434 436 439 440 446 451 458 469 471 476 487 493 500 Sample n = 25 40 46 49 51 81 150 161 165 176 179 202 209 274 274 286 341 347 350 357 366 380 381 386 388 451 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)
Expert Solution
Step 1

Let , X : number of customers who own less than 171

Given : N=150 , n=25

Our aim is to find the 

a) Population proportion

b) Sample proportion

c) Sampling error

 

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