A random sample of 1026 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 1026 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. D= 0.502 (Round 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 simple random sample, the value of np(1-p) is 256.496 , which is greater than or equal to 10, and the sample size can be assumed to be less than or equal to 5% of the population size. (Round to three decimal places as needed.) (c) Construct and interpret choice (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your A. We are 95 % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 0.471 and 0.533. B. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and (d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely? that a sunermaiority of adults in the country believe that television is a luxury they could do vwithout because the 95% confidence interval
A random sample of 1026 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 1026 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. D= 0.502 (Round 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 simple random sample, the value of np(1-p) is 256.496 , which is greater than or equal to 10, and the sample size can be assumed to be less than or equal to 5% of the population size. (Round to three decimal places as needed.) (c) Construct and interpret choice (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your A. We are 95 % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 0.471 and 0.533. B. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and (d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely? that a sunermaiority of adults in the country believe that television is a luxury they could do vwithout because the 95% confidence interval
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Question #6
Answer Part D only!!
![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
0.0003
0.0005
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0008
0.0011
0.0003
0.0004
0.0005
0.0002
0.0003
0.0005
0.5000
0.5398
0.5793
0.5160
0.5557
0.5948
0.6331
0.5199
0.5596
0.5987
0.5239
0.5636
0.6026
-3.4
0.0003
0.0005
0.0007
0.0003
0.0005
0.0007
0.0009
0.0013
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0008
0.0011
0.0003
0.0004
0.0005
0.5040
0.5438
0.5832
0.6217
0.6591
0.5080
0.5478
0.5871
0.5120
0.5517
0.5910
0.5279
0.5675
0.6064
0.5319
0.5714
0.6103
0.5359
0.5753
0.6141
0.0
-3.3
-3.2
-3.1
-3.0
0.1
0.2
0.0010
0.0013
0.0009
0.0013
0.0008
0.0011
0.0007
0.0010
0.6179
0.6554
0.6406
0.6772
0.6255
0.6293
0.0009
0.0012
0.0008
0.0007
0.3
0.6368
0.6443
0.6808
0.6480
0.6517
0.6879
0.0012
0.0010
0.4
0.6628
0.6664
0.6700
0.6736
0.6844
-29
-28
-2.7
0.0019
0.0026
0.0035
0.0015
0.0021
0.0028
0.0014
0.0020
0.0027
0.0014
0.0019
0.0026
0.7019
0.7357
0.7673
0.7123
0.7454
0.7764
0.7157
0.7486
0.7794
0.7224
0.7549
0.7852
0.5
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
0.0016
0.0022
0.0030
0.0015
0.0021
0.0029
0.6915
0.7257
0.7580
0.6950
0.7291
0.7611
0.6985
0.7324
0.7642
0.7939
0.8212
0.7054
0.7389
0.7704
0.7088
0.7422
0.7734
0.8023
0.8289
0.7190
0.7517
0.7823
0.6
0.7
0.0047
0.0062
0.0045
0.0060
0.0038
0.0051
0.0037
0.0049
0.0036
0.0048
0.7881
0.8159
0.7995
-2.6
-2.5
0.0041
0.0055
0.0040
0.0054
0.0039
0.0052
0.7910
0.7967
0.8051
0.8078
0.8340
0.8106
0.8365
0.8133
0.8389
0.8
0.9
0.8186
0.8238
0.8264
0.8315
0.0078
0.0102
0.0132
0.0066
0.0087
0.0113
0.0146
0.0188
0.8485
0.8708
0.0080
0.0104
0.0136
0.0075
0.0099
0.0129
0.0073
0.0096
0.0125
0.0071
0.0094
0.0122
0.8413
0.8643
0.8849
0.8438
0.8665
0.8869
0.9049
0.9207
0.8508
0.8729
0.8925
0.9099
0.9251
0.8577
0.8790
0.8980
0.8599
0.8810
0.8997
0.8621
0.8830
0.90 15
-2.4
-2.3
-2.2
0.0082
0.0107
0.0139
0.0069
0.0091
0.0119
0.8531
0.8749
0.0068
0.0064
0.0084
0.0110
1.0
1.1
1.2
0.8461
0.8686
0.8888
0.9066
0.9222
0.8554
0.8770
0.8962
0.0089
0.0116
0.8907
0.8944
0.0179
0.0228
0.0174
0.0222
0.0170
0.0217
0.0166
0.0212
0.0158
0.0202
0.0154
0.0150
0.0192
0.0143
0.0183
0.9032
0.9192
0.9082
0.9236
0.9115
0.9131
0.9279
0.9177
0.9319
-2.1
0.0162
0.0207
1.3
1.4
0.9147
0.9162
0.9306
-2.0
0.0197
0.9265
0.9292
-1.9
-1.8
-1.7
0.0287
0.0359
0.0446
0.0281
0.0351
0.0436
0.0274
0.0344
0.0427
0.0268
0.0336
0.0418
0.0516
0.0630
0.0262
0.0329
0.0409
0.0256
0.0322
0.0401
0.0250
0.0314
0.0392
0.0485
0.0594
0.0244
0.0307
0.0384
0.0475
0.0582
0.0239
0.0301
0.0375
0.0465
0.0571
0.0233
0.0294
0.0367
1.5
1.6
1.7
0.9332
0.9452
0.9554
0.9345
0.9463
0.9564
0.9357
0.9474
0.9573
0.9656
0.9726
0.9370
0.9484
0.9582
0.9664
0.9732
0.9382
0.9495
0.9591
0.9394
0.9505
0.9599
0.9406
0.9515
0.9608
0.9429
0.9535
0.9625
0.9699
0.9761
0.9418
0.9525
0.9441
0.9545
0.9633
0.9616
0.0537
0.0655
0.0526
0.0643
0.0455
0.0559
0.9641
0.9713
0.9686
0.9750
0.9693
0.9756
-1.6
0.0548
0.0668
0.0505
0.0618
0.0495
1.8
1.9
0.9649
0.9719
0.9671
0.9738
0.9678
0.9744
0.9706
-1.5
0.0606
0.9767
0.0793
0.0951
0.1131
0.0778
0.0934
0.0764
0.0918
0.1093
0.0749
0.0901
0.1075
0.1271
0.1492
0.0735
0.0885
0.1056
0.1251
0.1469
0.0721
0.0869
0.1038
0.0694
0.0838
0.1003
0.9783
0.9830
0.9868
0.9793
0.9838
0.9875
0.9798
0.9842
0.9878
0.9803
0.9846
0.9881
-1.4
-13
-1.2
0.0808
0.0968
0.1151
0.0708
0.0853
0.1020
0.1210
0.1423
0.0681
0.0823
0.0985
0.1170
0.1379
2.0
2.1
2.2
2.3
2.4
0.9772
0.9821
0.9861
0.9778
0.9826
0.9864
0.9788
0.9834
0.9871
0.9808
0.9850
0.9812
0.9854
0.9887
0.9913
0.9817
0.9857
0.9890
0.1112
0.9884
0.1357
0.1587
0.1292
0.1515
0.1230
0.1446
0.9893
0.9918
0.9898
0.9922
0.9901
0.9925
0.9906
0.9929
0.9911
0.9932
-1.1
0.1335
0.1314
0.1539
0.1190
0.1401
0.9896
0.9920
0.9904
0.9927
0.9909
0.9931
0.9916
0.9936
-1.0
0.1562
0.9934
-0.9
-08
-0.7
0.1762
0.2033
0.2327
0.1736
0.2005
0.2296
0.1711
0.1977
0.2266
0.1685
0.1949
0.2236
0.1660
0.1922
0.2206
0.1635
0.1894
0.2177
0.2483
2.5
2.6
2.7
0.9938
0.9953
0.9965
0.9940
0.9955
0.9966
0.9943
0.9957
0.9968
0.9945
0.9959
0.9969
0.9949
0.9962
0.9972
0.9952
0.9964
0.9974
0.1841
0.2119
0.1814
0.2090
0.2389
0.1788
0.2061
0.2358
0.1611
0.1867
0.2148
0.9941
0.9956
0.9967
0.0076
0.9946
0.9960
0.9970
0.9948
0.9961
0.9971
0.9951
0.9963
0.9973
0.2420
0.2743
-0.6
0.2709
0.2676
0.2643
0.2611
0.2578.
0.2546
0.2514
0.2451
2.8
0.9974
0.0075
0.0077
0.0077
0.9978
0.0070
0.0079
0.0080
0.9081](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3687cbc-fe37-486e-87e6-a5fec1076243%2Fadb1313c-bd95-4c3b-b708-5de9a1398735%2Fzkxy6ab_processed.png&w=3840&q=75)
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
0.0003
0.0005
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0008
0.0011
0.0003
0.0004
0.0005
0.0002
0.0003
0.0005
0.5000
0.5398
0.5793
0.5160
0.5557
0.5948
0.6331
0.5199
0.5596
0.5987
0.5239
0.5636
0.6026
-3.4
0.0003
0.0005
0.0007
0.0003
0.0005
0.0007
0.0009
0.0013
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0008
0.0011
0.0003
0.0004
0.0005
0.5040
0.5438
0.5832
0.6217
0.6591
0.5080
0.5478
0.5871
0.5120
0.5517
0.5910
0.5279
0.5675
0.6064
0.5319
0.5714
0.6103
0.5359
0.5753
0.6141
0.0
-3.3
-3.2
-3.1
-3.0
0.1
0.2
0.0010
0.0013
0.0009
0.0013
0.0008
0.0011
0.0007
0.0010
0.6179
0.6554
0.6406
0.6772
0.6255
0.6293
0.0009
0.0012
0.0008
0.0007
0.3
0.6368
0.6443
0.6808
0.6480
0.6517
0.6879
0.0012
0.0010
0.4
0.6628
0.6664
0.6700
0.6736
0.6844
-29
-28
-2.7
0.0019
0.0026
0.0035
0.0015
0.0021
0.0028
0.0014
0.0020
0.0027
0.0014
0.0019
0.0026
0.7019
0.7357
0.7673
0.7123
0.7454
0.7764
0.7157
0.7486
0.7794
0.7224
0.7549
0.7852
0.5
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
0.0016
0.0022
0.0030
0.0015
0.0021
0.0029
0.6915
0.7257
0.7580
0.6950
0.7291
0.7611
0.6985
0.7324
0.7642
0.7939
0.8212
0.7054
0.7389
0.7704
0.7088
0.7422
0.7734
0.8023
0.8289
0.7190
0.7517
0.7823
0.6
0.7
0.0047
0.0062
0.0045
0.0060
0.0038
0.0051
0.0037
0.0049
0.0036
0.0048
0.7881
0.8159
0.7995
-2.6
-2.5
0.0041
0.0055
0.0040
0.0054
0.0039
0.0052
0.7910
0.7967
0.8051
0.8078
0.8340
0.8106
0.8365
0.8133
0.8389
0.8
0.9
0.8186
0.8238
0.8264
0.8315
0.0078
0.0102
0.0132
0.0066
0.0087
0.0113
0.0146
0.0188
0.8485
0.8708
0.0080
0.0104
0.0136
0.0075
0.0099
0.0129
0.0073
0.0096
0.0125
0.0071
0.0094
0.0122
0.8413
0.8643
0.8849
0.8438
0.8665
0.8869
0.9049
0.9207
0.8508
0.8729
0.8925
0.9099
0.9251
0.8577
0.8790
0.8980
0.8599
0.8810
0.8997
0.8621
0.8830
0.90 15
-2.4
-2.3
-2.2
0.0082
0.0107
0.0139
0.0069
0.0091
0.0119
0.8531
0.8749
0.0068
0.0064
0.0084
0.0110
1.0
1.1
1.2
0.8461
0.8686
0.8888
0.9066
0.9222
0.8554
0.8770
0.8962
0.0089
0.0116
0.8907
0.8944
0.0179
0.0228
0.0174
0.0222
0.0170
0.0217
0.0166
0.0212
0.0158
0.0202
0.0154
0.0150
0.0192
0.0143
0.0183
0.9032
0.9192
0.9082
0.9236
0.9115
0.9131
0.9279
0.9177
0.9319
-2.1
0.0162
0.0207
1.3
1.4
0.9147
0.9162
0.9306
-2.0
0.0197
0.9265
0.9292
-1.9
-1.8
-1.7
0.0287
0.0359
0.0446
0.0281
0.0351
0.0436
0.0274
0.0344
0.0427
0.0268
0.0336
0.0418
0.0516
0.0630
0.0262
0.0329
0.0409
0.0256
0.0322
0.0401
0.0250
0.0314
0.0392
0.0485
0.0594
0.0244
0.0307
0.0384
0.0475
0.0582
0.0239
0.0301
0.0375
0.0465
0.0571
0.0233
0.0294
0.0367
1.5
1.6
1.7
0.9332
0.9452
0.9554
0.9345
0.9463
0.9564
0.9357
0.9474
0.9573
0.9656
0.9726
0.9370
0.9484
0.9582
0.9664
0.9732
0.9382
0.9495
0.9591
0.9394
0.9505
0.9599
0.9406
0.9515
0.9608
0.9429
0.9535
0.9625
0.9699
0.9761
0.9418
0.9525
0.9441
0.9545
0.9633
0.9616
0.0537
0.0655
0.0526
0.0643
0.0455
0.0559
0.9641
0.9713
0.9686
0.9750
0.9693
0.9756
-1.6
0.0548
0.0668
0.0505
0.0618
0.0495
1.8
1.9
0.9649
0.9719
0.9671
0.9738
0.9678
0.9744
0.9706
-1.5
0.0606
0.9767
0.0793
0.0951
0.1131
0.0778
0.0934
0.0764
0.0918
0.1093
0.0749
0.0901
0.1075
0.1271
0.1492
0.0735
0.0885
0.1056
0.1251
0.1469
0.0721
0.0869
0.1038
0.0694
0.0838
0.1003
0.9783
0.9830
0.9868
0.9793
0.9838
0.9875
0.9798
0.9842
0.9878
0.9803
0.9846
0.9881
-1.4
-13
-1.2
0.0808
0.0968
0.1151
0.0708
0.0853
0.1020
0.1210
0.1423
0.0681
0.0823
0.0985
0.1170
0.1379
2.0
2.1
2.2
2.3
2.4
0.9772
0.9821
0.9861
0.9778
0.9826
0.9864
0.9788
0.9834
0.9871
0.9808
0.9850
0.9812
0.9854
0.9887
0.9913
0.9817
0.9857
0.9890
0.1112
0.9884
0.1357
0.1587
0.1292
0.1515
0.1230
0.1446
0.9893
0.9918
0.9898
0.9922
0.9901
0.9925
0.9906
0.9929
0.9911
0.9932
-1.1
0.1335
0.1314
0.1539
0.1190
0.1401
0.9896
0.9920
0.9904
0.9927
0.9909
0.9931
0.9916
0.9936
-1.0
0.1562
0.9934
-0.9
-08
-0.7
0.1762
0.2033
0.2327
0.1736
0.2005
0.2296
0.1711
0.1977
0.2266
0.1685
0.1949
0.2236
0.1660
0.1922
0.2206
0.1635
0.1894
0.2177
0.2483
2.5
2.6
2.7
0.9938
0.9953
0.9965
0.9940
0.9955
0.9966
0.9943
0.9957
0.9968
0.9945
0.9959
0.9969
0.9949
0.9962
0.9972
0.9952
0.9964
0.9974
0.1841
0.2119
0.1814
0.2090
0.2389
0.1788
0.2061
0.2358
0.1611
0.1867
0.2148
0.9941
0.9956
0.9967
0.0076
0.9946
0.9960
0.9970
0.9948
0.9961
0.9971
0.9951
0.9963
0.9973
0.2420
0.2743
-0.6
0.2709
0.2676
0.2643
0.2611
0.2578.
0.2546
0.2514
0.2451
2.8
0.9974
0.0075
0.0077
0.0077
0.9978
0.0070
0.0079
0.0080
0.9081
![A random sample of 1026 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 1026 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= 0.502
(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 np(1-p) is 256.496 , which is greater than or equal to 10, and the
sample size
can be assumed to be
less than or equal to 5% of the
population size.
(Round to three decimal places as needed.)
(c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your
choice.
(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)
A. We are 95 % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 0.471 and 0.533
B. There is a
% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between
and
(d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely?
It is
that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval
(Type an integer or a decimal. Do not round.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3687cbc-fe37-486e-87e6-a5fec1076243%2Fadb1313c-bd95-4c3b-b708-5de9a1398735%2F01vs4al_processed.png&w=3840&q=75)
Transcribed Image Text:A random sample of 1026 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 1026 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= 0.502
(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 np(1-p) is 256.496 , which is greater than or equal to 10, and the
sample size
can be assumed to be
less than or equal to 5% of the
population size.
(Round to three decimal places as needed.)
(c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your
choice.
(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)
A. We are 95 % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 0.471 and 0.533
B. There is a
% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between
and
(d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely?
It is
that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval
(Type an integer or a decimal. Do not round.)
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