A survey of 2296 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 411 have donated blood in the past two years. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years. p= 0.179 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample is stated to be a simple random sample, the value of V is , which is greater than or equal to 10, and the V less than or equal to 5% of the population size. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A survey of 2296 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 411 have donated blood in the past two
years. Complete parts (a) through (c) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years.
p = 0.179
(Round to three decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about p are satisfied.
The sample
is stated to be
a simple random sample, the value of
is
which is greater than or equal to 10, and the
less than or equal to 5% of the population size.
(Round to three decimal places as needed.)
Transcribed Image Text:A survey of 2296 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 411 have donated blood in the past two years. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years. p = 0.179 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample is stated to be a simple random sample, the value of is which is greater than or equal to 10, and the less than or equal to 5% of the population size. (Round to three decimal places as needed.)
Standard Normal Distribution Table (page 1)
Standard Normal Distribution Table (page 2)
Area
Area
Standard Normal Distribution
Standard Normal Distribution
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
-3.4
-3.3
-3.2
0.0003
0.0005
0.0007
0.0003
0.0005
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0005
0.0008
0.0011
0.0002
0.0003
0.0005
0.0007
0.0010
0.5000
0.5398
0.5793
0.5080
0.5478
0.5871
0.6255
0.6628
0.5160
0.5557
0.5948
0.6331
0.6700
0.5279
0.5675
0.6064
0.5040
0.0003
0.0005
0.0007
0.0003
0.0004
0.0006
0.0003
0.0004
0.0005
0.0
0.1
0.2
0.5120
0.5517
0.5910
0.5199
0.5596
0.5987
0.5239
0.5636
0.6026
0.5319
0.5714
0.6103
0.5359
0.5753
0.6141
0.5438
0.0006
0.5832
0.3
0.4
0.6443
0.6808
0.6517
0.6879
0.0010
0.0009
0.0012
0.0008
0.0011
0.0007
0.6293
0.6664
0.6368
0.6736
-3.1
0.0009
0.0013
0.0009
0.0008
0.0008
0.6179
0.6217
0.6406
0.6480
-3.0
0.0013
0.0013
0.0012
0.0011
0.0010
0.6554
0.6591
0.6772
0.6844
-29
-2.8
-2.7
0.0016
0.0023
0.0031
0.0015
0.0021
0.0029
0.0039
0.0052
0.0015
0.0021
0.0028
0.6915
0.7257
0.7580
0.7881
0.8159
0.6985
0.7088
0.7123
0.7454
0.7157
0.0019
0.0026
0.0035
0.0018
0.0025
0.0034
0.0018
0.0024
0.0033
0.0017
0.0023
0.0032
0.0016
0.0022
0.0030
0.0014
0.0020
0.0027
0.0014
0.0019
0.0026
0.5
0.6950
0.7291
0.7611
0.7019
0.7357
0.7673
0.7967
0.8238
0.7054
0.7389
0.7704
0.7190
0.7517
0.7224
0.7549
0.7324
0.7642
0.7422
0.7486
0.7794
0.6
0.7852
0.8133
0.8389
0.7
0.7734
0.7764
0.7823
0.0043
0.0057
0.0041
0.0055
0.0036
0.0048
0.7910
0.8186
0.7995
0.8264
0.0047
0.0045
0.0060
0.0038
0.0051
0.0037
0.0049
-2.6
0.0044
0.0040
0.8
0.7939
0.8212
0.8023
0.8289
0.8051
0.8315
0.8078
0.8106
0.8365
-2.5
0.0062
0.0059
0.0054
0.9
0.8340
-2.4
-2.3
-2.2
0.0082
0.0107
0.0139
0.0080
0.0104
0.0136
0.0078
0.0102
0.0132
0.0170
0.0217
0.0075
0.0099
0.0129
0.0073
0.0096
0.0125
0.0071
0.0094
0.0122
0.0069
0.0091
0.0119
0.0068
0.0089
0.0116
0.0066
0.0087
0.0113
0.0064
0.0084
0.0110
0.0143
0.0183
1.0
1.1
1.2
0.8413
0.8643
0.8849
0.9032
0.9192
0.8438
0.8665
0.8869
0.9049
0.9207
0.8461
0.8686
0.8888
0.9066
0.9222
0.8485
0.8708
0.8907
0.8508
0.8729
0.8925
0.9099
0.9251
0.8531
0.8749
0.8944
0.9115
0.9265
0.8554
0.8770
0.8962
0.9131
0.9279
0.8577
0.8790
0.8980
0.8599
0.8810
0.8997
0.8621
0.8830
0.90 15
-2.1
-2.0
0.0179
0.0228
0.0174
0.0222
0.0166
0.0212
0.0162
0.0207
0.0158
0.0202
0.0154
0.0197
0.0150
0.0192
0.0146
0.0188
1.3
1.4
0.9082
0.9236
0.9147
0.9292
0.9162
0.9306
0.9177
0.9319
0.0274
0.0344
0.0427
0.0268
0.0336
0.0418
0.0516
0.0630
0.0244
0.0307
0.0384
0.0475
0.0582
1.5
1.6
1.7
0.9332
0.9452
0.9554
0.9382
0.9495
0.9591
0.9406
0.9515
0.9608
-1.9
0.0256
0.0322
0.0401
0.0250
0.0314
0.0392
0.0239
0.0301
0.0375
0.0465
0.0571
0.0233
0.9345
0.9463
0.9564
0.9357
0.0287
0.0359
0.0446
0.0281
0.0351
0.0436
0.0537
0.0655
0.0262
0.0329
0.0409
0.0505
0.0618
0.9370
0.9484
0.9582
0.9394
0.9505
0.9599
0.9418
0.9525
0.9616
0.9429
0.9535
0.9625
0.9441
0.9545
0.9633
-1.8
0.0294
0.9474
-1.7
-1.6
-1.5
0.0367
0.9573
0.0548
0.0668
0.0455
0.0559
0.0485
0.0526
0.0643
1.8
1.9
0.9641
0.9713
0.9649
0.9719
0.9671
0.9738
0.9686
0.9750
0.9706
0.9767
0.0495
0.9656
0.9726
0.9664
0.9678
0.9744
0.9693
0.9756
0.9699
0.9761
0.0606
0.0594
0.9732
-1.4
-13
-1.2
0.0808
0.0968
0.1151
0.0778
0.0934
0.1112
0.1314
0.1539
0.9788
0.9834
0.9871
0.9901
0.9925
0.0764
0.0735
0.0885
0.0721
0.0869
0.1038
0.0694
0.0838
0.1003
2.0
0.0793
0.0951
0.1131
0.0749
0.0901
0.1075
0.0708
0.0853
0.1020
0.0681
0.0823
0.0985
0.9772
0.9821
0.9861
0.9778
0.9826
0.9783
0.9830
0.9868
0.9793
0.9838
0.9875
0.9798
0.9842
0.9878
0.9803
0.9846
0.9881
0.9909
0.9931
0.9808
0.9850
0.9884
0.9812
0.9854
0.9887
0.9817
0.9857
0.9890
0.0918
2.1
0.1093
0.1056
2.2
0.9864
-1.1
-1.0
0.1335
0.1562
0.1292
0.1515
0.1271
0.1492
0.1251
0.1469
0.1230
0.1446
0.1210
0.1423
0.1190
0.1401
0.9904
0.9927
0.9906
0.9929
0.9911
0.9932
0.1357
0.1170
0.1379
2.3
2.4
0.9893
0.9896
0.9898
0.9913
0.9934
0.9916
0.9936
0.1587
0.9918
0.9920
0.9922
-0.9
0.1841
0.1814
0.1788
0.1762
0.1736
0.1711
0.1685
0.1660
0.1635
0.1611
2.5
0.9938
0.9940
0.9941
0.9943
0.9945
0.9946
0.9948
0.9949
0.9951
0.9952
Transcribed Image Text:Standard Normal Distribution Table (page 1) Standard Normal Distribution Table (page 2) Area Area Standard Normal Distribution Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.4 -3.3 -3.2 0.0003 0.0005 0.0007 0.0003 0.0005 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0008 0.0011 0.0002 0.0003 0.0005 0.0007 0.0010 0.5000 0.5398 0.5793 0.5080 0.5478 0.5871 0.6255 0.6628 0.5160 0.5557 0.5948 0.6331 0.6700 0.5279 0.5675 0.6064 0.5040 0.0003 0.0005 0.0007 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0 0.1 0.2 0.5120 0.5517 0.5910 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 0.5438 0.0006 0.5832 0.3 0.4 0.6443 0.6808 0.6517 0.6879 0.0010 0.0009 0.0012 0.0008 0.0011 0.0007 0.6293 0.6664 0.6368 0.6736 -3.1 0.0009 0.0013 0.0009 0.0008 0.0008 0.6179 0.6217 0.6406 0.6480 -3.0 0.0013 0.0013 0.0012 0.0011 0.0010 0.6554 0.6591 0.6772 0.6844 -29 -2.8 -2.7 0.0016 0.0023 0.0031 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0021 0.0028 0.6915 0.7257 0.7580 0.7881 0.8159 0.6985 0.7088 0.7123 0.7454 0.7157 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0022 0.0030 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.5 0.6950 0.7291 0.7611 0.7019 0.7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7704 0.7190 0.7517 0.7224 0.7549 0.7324 0.7642 0.7422 0.7486 0.7794 0.6 0.7852 0.8133 0.8389 0.7 0.7734 0.7764 0.7823 0.0043 0.0057 0.0041 0.0055 0.0036 0.0048 0.7910 0.8186 0.7995 0.8264 0.0047 0.0045 0.0060 0.0038 0.0051 0.0037 0.0049 -2.6 0.0044 0.0040 0.8 0.7939 0.8212 0.8023 0.8289 0.8051 0.8315 0.8078 0.8106 0.8365 -2.5 0.0062 0.0059 0.0054 0.9 0.8340 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0078 0.0102 0.0132 0.0170 0.0217 0.0075 0.0099 0.0129 0.0073 0.0096 0.0125 0.0071 0.0094 0.0122 0.0069 0.0091 0.0119 0.0068 0.0089 0.0116 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 0.0143 0.0183 1.0 1.1 1.2 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.9066 0.9222 0.8485 0.8708 0.8907 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.8599 0.8810 0.8997 0.8621 0.8830 0.90 15 -2.1 -2.0 0.0179 0.0228 0.0174 0.0222 0.0166 0.0212 0.0162 0.0207 0.0158 0.0202 0.0154 0.0197 0.0150 0.0192 0.0146 0.0188 1.3 1.4 0.9082 0.9236 0.9147 0.9292 0.9162 0.9306 0.9177 0.9319 0.0274 0.0344 0.0427 0.0268 0.0336 0.0418 0.0516 0.0630 0.0244 0.0307 0.0384 0.0475 0.0582 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9382 0.9495 0.9591 0.9406 0.9515 0.9608 -1.9 0.0256 0.0322 0.0401 0.0250 0.0314 0.0392 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.9345 0.9463 0.9564 0.9357 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0537 0.0655 0.0262 0.0329 0.0409 0.0505 0.0618 0.9370 0.9484 0.9582 0.9394 0.9505 0.9599 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 -1.8 0.0294 0.9474 -1.7 -1.6 -1.5 0.0367 0.9573 0.0548 0.0668 0.0455 0.0559 0.0485 0.0526 0.0643 1.8 1.9 0.9641 0.9713 0.9649 0.9719 0.9671 0.9738 0.9686 0.9750 0.9706 0.9767 0.0495 0.9656 0.9726 0.9664 0.9678 0.9744 0.9693 0.9756 0.9699 0.9761 0.0606 0.0594 0.9732 -1.4 -13 -1.2 0.0808 0.0968 0.1151 0.0778 0.0934 0.1112 0.1314 0.1539 0.9788 0.9834 0.9871 0.9901 0.9925 0.0764 0.0735 0.0885 0.0721 0.0869 0.1038 0.0694 0.0838 0.1003 2.0 0.0793 0.0951 0.1131 0.0749 0.0901 0.1075 0.0708 0.0853 0.1020 0.0681 0.0823 0.0985 0.9772 0.9821 0.9861 0.9778 0.9826 0.9783 0.9830 0.9868 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.9817 0.9857 0.9890 0.0918 2.1 0.1093 0.1056 2.2 0.9864 -1.1 -1.0 0.1335 0.1562 0.1292 0.1515 0.1271 0.1492 0.1251 0.1469 0.1230 0.1446 0.1210 0.1423 0.1190 0.1401 0.9904 0.9927 0.9906 0.9929 0.9911 0.9932 0.1357 0.1170 0.1379 2.3 2.4 0.9893 0.9896 0.9898 0.9913 0.9934 0.9916 0.9936 0.1587 0.9918 0.9920 0.9922 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952
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