A random sample of 1017 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1017 adults surveyed, 515 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) 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 who believe that televisions are a luxury they could do without. (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question #6

A random sample of 1017 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1017 adults surveyed, 515 indicated that televisions are a luxury they could do
without. Complete parts (a) through (e) 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 who believe that televisions are a luxury they could do without.
p=
(Round to three decimal places as needed.)
Transcribed Image Text:A random sample of 1017 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1017 adults surveyed, 515 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) 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 who believe that televisions are a luxury they could do without. p= (Round to three decimal places as needed.)
Aea
Area
Standard Nomal 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
0.5000
0.5398
0.5793
0.5080
0.5478
0.5871
0.6255
0,6628
05120
0.5517
0.5910
0.6293
0.6664
0.5199
0.5596
0.5987
0.5239
0.5636
0.6026
0.6406
0,6772
0.5279
0.5675
0.6064
0.5319
0.5714
0.6103
0.6480
0.5359
0.5753
0.6141
0.6517
0,6879
0.0
0.5040
0.5438
0.5832
0.6217
0.6591
0.5160
0.5557
0.5948
0.6331
0.6700
0.0003
0.0004
0.0005
0.0007
0.0010
-3.4
-3.3
0.0003
0.0005
0.0007
0.0010
0.0013
0.0003
0.0005
0.0007
0.0009
0.0013
0.0003
0.0005
0.0006
0.0009
0.0013
0.0003
0.0004
0.0006
0.0009
0.0012
0.0003
0.0004
0.0006
0.1
0.2
0.3
0.4
-3.2
-3.1
-3.0
0.0006
0.0008
0.0011
0.0003
0.0004
0.0003
0.0004
0.0006
0.0003
0.0004
0.0005
0.0008
0.0011
0.0002
0.0003
0.0005
0.0007
0.6179
0.6554
0.6368
0.6736
0.6443
0.6808
0.0008
0.0012
0.0008
0.0011
0,6844
0.0010
0.6915
0.7257
0.7580
0.6950
0.7291
0.7611
0.7910
0.6985
0.7324
0.7642
0.7939
0.8212
0.7019
0.7357
0.7673
0.7054
0.7389
0.7704
0.7995
0.8264
0.7088
0.7422
0.7734
0.8023
0.8289
0.7123
0.7454
0,7764
0.8051
0.8315
0.7157
0.7486
0.7794
0.8078
0.8340
0.7190
0.7517
0.7823
0.7224
0.7549
0.7852
0,8133
0.8389
0,5
0.0019
0.0026
0.0035
0.0018
0.0025
0.0034
0.0018
0.0024
0.0033
0.0044
0.0059
0.0017
0.0023
0.0032
0.0043
0.0057
0.0016
0.0023
0.0031
0.0041
0.0055
0.0016
0.0022
0.0030
0.0040
0.0054
0.0015
0.0021
0.0029
0.0039
0.0052
0.0015
0.0021
0.0028
0.0038
0.0051
0.0014
0.0020
0.0027
0.0037
0.0049
0.0014
0.0019
0.0026
-29
0.6
-28
0.7
0.7881
0.8159
0.7967
0.8238
-2.7
-2.6
-2.5
0.0047
0.0062
0.0045
0.0060
0.0036
0.0048
0.8
0.8106
0.9
0.8186
0.8365
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
0.8531
0.8749
0.8944
0.9115
0.9265
0.8577
0.8790
0.8980
0.8599
0.8810
0.8997
0.8621
0,8830
0.9015
0.9177
0.9319
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
0.0158
0.0202
0.0069
0.0091
0.0119
0.0154
0.0197
0.0068
0.0089
0.0116
0.0150
0.0192
0.0066
0.0087
0.0113
0.0064
0.0084
0.0110
0.3
0.8508
0.8729
0.8925
0.8554
0.8770
0.8962
-2.4
-2.3
-2.2
1.0
1.1
1.2
1.3
1.4
-2.1
0.0179
0.0174
0.0166
0.0162
0.0146
0.0143
0.9082
0.9236
0.9099
0.9251
0.9131
0.9279
0.9147
0.9292
0.9162
0.9306
0.0228
-2.0
0.0222
0.0212
0.0207
0.0188
0.0183
-1.9
-1.8
-1.7
0.0287
0.0359
0.0446
0.0548
0.0668
0.0281
0.0351
0.0436
0.0537
0.0655
0,0274
0.0344
0.0427
0.0526
0.0643
0.0268
0.0336
0.0418
0.0516
0.0630
0.0262
0.0329
0.0409
0.0505
0.0618
0,0256
0.0322
0.0401
0.0250
0.0314
0.0392
0.0485
0.0594
0.0244
0.0307
0.9345
0.9463
0.9564
0.9370
0.9484
0.9582
0.9664
0.9732
0.9382
0.9495
0.9591
0.9671
0.9738
0.9406
0.9515
0.9608
0.9418
0.9525
0.9616
0.0239
0.0301
0.0375
0.0465
0.0571
0,0233
0.0294
0.0367
0.0455
0.0559
1.5
0.9332
0.9452
0.9554
0.9641
0,9713
0.9357
0.9394
0.9505
0.9599
0.9429
0.9535
0.9625
0.9441
0.9545
0.9633
0,9706
0.9767
1.6
0.9474
1.7
0.0384
0.9649
0,9719
0.9573
0,9656
0.9726
0.9678
0,9744
0.9686
0,9750
0.0495
0.0606
0.0475
0.0582
-1.6
1.8
1.9
0.9693
0.9756
0.9699
0.9761
-1.5
-14
-1.3
-1.2
0.0808
0.0968
0.1151
0.1357
0.1587
0.0604
0.0838
0.1003
0.1190
0.1401
0,0793
0.0951
0.0778
0.0934
0.1112
0.1314
0.1539
0.0764
0.0918
0.1093
0.1292
0.1515
0.0749
0.0901
0.1075
0.1271
0.1492
0.0735
0.0885
0.1056
0.0721
0.0869
2.0
2.1
2.2
2.3
2.4
0.9772
0.9821
0.9861
0.9893
0,9918
0,9778
0.9826
0.9864
0.9783
0.9830
0.9868
0.9898
0,9922
0.9788
0.9834
0.9871
0.9793
0.9838
0.9875
0.9904
0.9927
0.9798
0.9842
0.9878
0.9906
0,9929
0.9803
0.9846
0.9881
0.9909
0.9931
0.9808
0.9850
0.9884
0.9911
0.9932
0.9812
0.9854
0.9887
0,9817
0.9857
0.9890
0.1131
0.1335
0.1562
0.1038
0.1230
0.1446
0.0708
0.0853
0.1020
0.1210
0.1423
0.0681
0.0823
0.0985
0.1170
0.1379
-1.1
-1.0
0.1251
0.1469
0.9896
0.9901
0.9913
0,9934
0.9916
0.9936
0.9920
0.9925
2.5
2.6
2.7
2.8
0,9038
0,9953
0.9065
0.9940
0,9955
0 9966
0.9941
0.9956
0.9067
0.9043
0,9957
0 9068
0.9945
0.9959
0.9969
0.9977
0.9046
0.9960
0 9970
0.9948
0.9961
0.9971
0.9949
0.9962
0,9972
0.9951
0.9963
0 9073
0.9952
0,9964
0 9074
-0.9
-08
-0.7
0.1841
0.2119
0.2420
0.2743
0.3085
0.1814
0.2090
0.2389
0.2709
0.3050
0.1788
0.2061
0.2358
0,2676
0.3015
0.1762
0.2033
0,2327
0.2643
0.2981
0.1736
0.2005
0.2296
0.2611
0.2946
0.1711
0.1977
0,2266
0,2578
0.2912
0.1685
0.1949
0.2236
0.2546
0.1660
0.1922
0.2206
02514
0.2843
0.1635
0.1894
0,2177
0.1611
0.1867
0,2148
0.2451
0.2776
0,9974
0.9981
0.9975
0,9982
0,9976
0.9982
0,9977
0.0083
0,9978
0.9984
0.9979
0,9985
0.9979
0.9985
0.9980
0 9086
-0.6
-0.5
0.2483
0.2810
0,9981
0.2877
2.9
0.9984
0.9986
-0.4
-0.3
-0.2
-0.1
-0.0
0.3446
0.3821
0.4207
0.4602
0.5000
0.3409
0.3783
0.4168
0.4562
0.4960
0.3372
0.3745
0.4129
0.4522
0.4920
0.3336
03707
0.4090
0.4483
0.4880
0.3300
0.3669
0,4052
0.4443
0.3264
0.3632
0.4013
0.3228
0.3594
0.3974
0.3192
0.3557
0.3936
0.4325
0.4721
0.3121
0.3483
0.3859
0.4247
0.4641
0.3156
0.3520
3.0
3.1
3.2
0.9987
0.9990
0.9993
0.9995
0.9997
0.9987
0.9991
0.9993
0,9995
0.9997
0.9987
0.9991
0.9994
0.9995
0.9997
0.9980
0.9992
0.9994
0.9996
0.9997
0.9990
0.9993
0.9995
0.9996
0.9997
0.9988
0.9991
0.9988
0.9992
0.9994
0.9996
0.9997
0.9989
0.9992
0.9994
0.9996
0.9997
0.9989
0.9992
0.9995
0.9996
0.9997
0.9990
0.9993
0.3897
0.9994
0.9995
0.9997
0.9998
0.4404
0.4364
0.4286
0.9996
0.9997
3.3
0.4840
0.4801
0.4761
0.4681
3.4
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
Transcribed Image Text:Aea Area Standard Nomal 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 0.5000 0.5398 0.5793 0.5080 0.5478 0.5871 0.6255 0,6628 05120 0.5517 0.5910 0.6293 0.6664 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.6406 0,6772 0.5279 0.5675 0.6064 0.5319 0.5714 0.6103 0.6480 0.5359 0.5753 0.6141 0.6517 0,6879 0.0 0.5040 0.5438 0.5832 0.6217 0.6591 0.5160 0.5557 0.5948 0.6331 0.6700 0.0003 0.0004 0.0005 0.0007 0.0010 -3.4 -3.3 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0009 0.0013 0.0003 0.0005 0.0006 0.0009 0.0013 0.0003 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 0.1 0.2 0.3 0.4 -3.2 -3.1 -3.0 0.0006 0.0008 0.0011 0.0003 0.0004 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0008 0.0011 0.0002 0.0003 0.0005 0.0007 0.6179 0.6554 0.6368 0.6736 0.6443 0.6808 0.0008 0.0012 0.0008 0.0011 0,6844 0.0010 0.6915 0.7257 0.7580 0.6950 0.7291 0.7611 0.7910 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0,7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0,8133 0.8389 0,5 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0044 0.0059 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0041 0.0055 0.0016 0.0022 0.0030 0.0040 0.0054 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 -29 0.6 -28 0.7 0.7881 0.8159 0.7967 0.8238 -2.7 -2.6 -2.5 0.0047 0.0062 0.0045 0.0060 0.0036 0.0048 0.8 0.8106 0.9 0.8186 0.8365 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 0.8531 0.8749 0.8944 0.9115 0.9265 0.8577 0.8790 0.8980 0.8599 0.8810 0.8997 0.8621 0,8830 0.9015 0.9177 0.9319 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 0.0158 0.0202 0.0069 0.0091 0.0119 0.0154 0.0197 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0064 0.0084 0.0110 0.3 0.8508 0.8729 0.8925 0.8554 0.8770 0.8962 -2.4 -2.3 -2.2 1.0 1.1 1.2 1.3 1.4 -2.1 0.0179 0.0174 0.0166 0.0162 0.0146 0.0143 0.9082 0.9236 0.9099 0.9251 0.9131 0.9279 0.9147 0.9292 0.9162 0.9306 0.0228 -2.0 0.0222 0.0212 0.0207 0.0188 0.0183 -1.9 -1.8 -1.7 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0537 0.0655 0,0274 0.0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0505 0.0618 0,0256 0.0322 0.0401 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.9345 0.9463 0.9564 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.0239 0.0301 0.0375 0.0465 0.0571 0,0233 0.0294 0.0367 0.0455 0.0559 1.5 0.9332 0.9452 0.9554 0.9641 0,9713 0.9357 0.9394 0.9505 0.9599 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0,9706 0.9767 1.6 0.9474 1.7 0.0384 0.9649 0,9719 0.9573 0,9656 0.9726 0.9678 0,9744 0.9686 0,9750 0.0495 0.0606 0.0475 0.0582 -1.6 1.8 1.9 0.9693 0.9756 0.9699 0.9761 -1.5 -14 -1.3 -1.2 0.0808 0.0968 0.1151 0.1357 0.1587 0.0604 0.0838 0.1003 0.1190 0.1401 0,0793 0.0951 0.0778 0.0934 0.1112 0.1314 0.1539 0.0764 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.1271 0.1492 0.0735 0.0885 0.1056 0.0721 0.0869 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9893 0,9918 0,9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9898 0,9922 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9906 0,9929 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0.9887 0,9817 0.9857 0.9890 0.1131 0.1335 0.1562 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.1210 0.1423 0.0681 0.0823 0.0985 0.1170 0.1379 -1.1 -1.0 0.1251 0.1469 0.9896 0.9901 0.9913 0,9934 0.9916 0.9936 0.9920 0.9925 2.5 2.6 2.7 2.8 0,9038 0,9953 0.9065 0.9940 0,9955 0 9966 0.9941 0.9956 0.9067 0.9043 0,9957 0 9068 0.9945 0.9959 0.9969 0.9977 0.9046 0.9960 0 9970 0.9948 0.9961 0.9971 0.9949 0.9962 0,9972 0.9951 0.9963 0 9073 0.9952 0,9964 0 9074 -0.9 -08 -0.7 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0.2358 0,2676 0.3015 0.1762 0.2033 0,2327 0.2643 0.2981 0.1736 0.2005 0.2296 0.2611 0.2946 0.1711 0.1977 0,2266 0,2578 0.2912 0.1685 0.1949 0.2236 0.2546 0.1660 0.1922 0.2206 02514 0.2843 0.1635 0.1894 0,2177 0.1611 0.1867 0,2148 0.2451 0.2776 0,9974 0.9981 0.9975 0,9982 0,9976 0.9982 0,9977 0.0083 0,9978 0.9984 0.9979 0,9985 0.9979 0.9985 0.9980 0 9086 -0.6 -0.5 0.2483 0.2810 0,9981 0.2877 2.9 0.9984 0.9986 -0.4 -0.3 -0.2 -0.1 -0.0 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.3783 0.4168 0.4562 0.4960 0.3372 0.3745 0.4129 0.4522 0.4920 0.3336 03707 0.4090 0.4483 0.4880 0.3300 0.3669 0,4052 0.4443 0.3264 0.3632 0.4013 0.3228 0.3594 0.3974 0.3192 0.3557 0.3936 0.4325 0.4721 0.3121 0.3483 0.3859 0.4247 0.4641 0.3156 0.3520 3.0 3.1 3.2 0.9987 0.9990 0.9993 0.9995 0.9997 0.9987 0.9991 0.9993 0,9995 0.9997 0.9987 0.9991 0.9994 0.9995 0.9997 0.9980 0.9992 0.9994 0.9996 0.9997 0.9990 0.9993 0.9995 0.9996 0.9997 0.9988 0.9991 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9996 0.9997 0.9990 0.9993 0.3897 0.9994 0.9995 0.9997 0.9998 0.4404 0.4364 0.4286 0.9996 0.9997 3.3 0.4840 0.4801 0.4761 0.4681 3.4 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
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Glencoe Algebra 1, Student Edition, 9780079039897…
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Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill