Jse the sample data and confidence level given below to complete parts (a) through (d). na study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2504 subjects randomly selected from an online group involved with ears. 1126 surveys were returned. Construct a 95% confidence interval for the proportion of returned surveys. Click the icon to view a table of z scores. .... a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=D (Round to three decimal places as needed.) c) Construct the confidence interval. (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. O A. One has 95% confidence that the sample proportion is equal to the population proportion. O B. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O C. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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POSITIVE z Scores
Cumulative Area from the LEFT
09
04
.05
06
07
00
01
.02
03
0.0
5239
5279
5319
5359
5000
5040
5080
5120
5160
5199
0.1
0.0
5675
5714
5753
5517
5557
5596
5636
5398
5438
5478
6141
0.2
5987
6026
6064
6103
5793
5832
5871
5910
5948
0.2
6443
.6480
8517
0.3
6255
6293
6331
6368
6406
0.3
6179
6217
6844
6879
0.4
6664
8700
6736
6772
6808
6554
6591
0628
7224
0.5
7054
7088
7123
7157
7190
0.5
6915
6950
6985
7019
0.6
7422
7454
7486
7517
7549
7257
7291
7324
7357
7389
7794
7823
7852
0.7
7580
7611
7642
7673
7704
7734
7764
0.7
.8106
8133
0.8
7939
7967
7995
8023
8051
B078
7881
7010
8340
8365
8389
0.9
8186
8212
8238
8264
8289
8315
0.9
8159
8621
1.0
8508
8531
8554
8577
8599
1.0
8413
8438
3461
8485
8770
B790
8810
8830
1.1
11
8643
8665
8686
8708
8729
8749
8997
9015
1.2
8688
8907
925
8944
8962
8849
9009
9115
9131
9147
0162
9177
13
9032
9049
9066
9082
0251
9265
0279
9292
9306
9319
14
9192
9207
9222
9236
9382
9394
9406
9418
9429
9441
1.5
9332
9345
9357
9370
9405
9505
9515
9525
.9535
9545
1.6
9452
9463
9474
9484
9582
9591
9599
9608
9616
9625
9633
1.7
9554
9564
9573
0604
0671
9678
9686
9693
9699
9706
1.8
9641
9649
9656
9738
9744
9750
9756
9761
9767
1.9
9713
9719
9726
9732
9783
9788
9793
9798
9803
9808
9812
9817
2.0
9772
9778
9826
9830
9834
9838
0042
9846
9850
9854
9857
9021
9868
0871
9375
9878
9881
9584
9887
9890
22
9861
9664
9898
9901
9904
9906
9900
9911
9913
0016
2.3
23
9893
9896
9020
9922
0925
9927
9929
9A31
9932
9934
9936
24
24
91
1943
9945
9946
9948
9949
9951
9952
2.5
0038
9940
9941
9955
9956
9957
9959
9960
9961
9962
9963
9964
2.6
9953
9966
9967
9908
9969
9970
9971
9972
9973
9974
2.7
9905
9074
9975
9978
9977
9977
9978
9979
9979
9980
9981
2.8
9081
9982
0982
9983
9984
.9984
9985
9985
9986
0986
2.9
9987
9987
9987
0988
9988
9989
9089
9989
9990
.9990
3.0
9900
9991
9991
9991
9992
9992
9992
9992
9993
9993
3.1
11
3.2
9903
9993
9994
.9994
9994
9994
9994
9995
9995
9995
3.2
33
9905
9995
9906
9996
9996
9996
9996
9996
9997
3.3
9907
9997
9997
997
9997
9997
9997
9997
9997
998
3.4
3.50 and up
3.50 and up
9999
00
01
02
03
04
06
07
08
09
NOTE: For values of z above 3.49, use 0.9999 for the area.
Common Critical Values
Confidence
Critical
Value
Level
*Use these common values that result from interpolation
0.90
1.645
2Score
Area
0.95
1.96
1.645
0.9500
0.99
2.575
2.575
0.9950
Transcribed Image Text:POSITIVE z Scores Cumulative Area from the LEFT 09 04 .05 06 07 00 01 .02 03 0.0 5239 5279 5319 5359 5000 5040 5080 5120 5160 5199 0.1 0.0 5675 5714 5753 5517 5557 5596 5636 5398 5438 5478 6141 0.2 5987 6026 6064 6103 5793 5832 5871 5910 5948 0.2 6443 .6480 8517 0.3 6255 6293 6331 6368 6406 0.3 6179 6217 6844 6879 0.4 6664 8700 6736 6772 6808 6554 6591 0628 7224 0.5 7054 7088 7123 7157 7190 0.5 6915 6950 6985 7019 0.6 7422 7454 7486 7517 7549 7257 7291 7324 7357 7389 7794 7823 7852 0.7 7580 7611 7642 7673 7704 7734 7764 0.7 .8106 8133 0.8 7939 7967 7995 8023 8051 B078 7881 7010 8340 8365 8389 0.9 8186 8212 8238 8264 8289 8315 0.9 8159 8621 1.0 8508 8531 8554 8577 8599 1.0 8413 8438 3461 8485 8770 B790 8810 8830 1.1 11 8643 8665 8686 8708 8729 8749 8997 9015 1.2 8688 8907 925 8944 8962 8849 9009 9115 9131 9147 0162 9177 13 9032 9049 9066 9082 0251 9265 0279 9292 9306 9319 14 9192 9207 9222 9236 9382 9394 9406 9418 9429 9441 1.5 9332 9345 9357 9370 9405 9505 9515 9525 .9535 9545 1.6 9452 9463 9474 9484 9582 9591 9599 9608 9616 9625 9633 1.7 9554 9564 9573 0604 0671 9678 9686 9693 9699 9706 1.8 9641 9649 9656 9738 9744 9750 9756 9761 9767 1.9 9713 9719 9726 9732 9783 9788 9793 9798 9803 9808 9812 9817 2.0 9772 9778 9826 9830 9834 9838 0042 9846 9850 9854 9857 9021 9868 0871 9375 9878 9881 9584 9887 9890 22 9861 9664 9898 9901 9904 9906 9900 9911 9913 0016 2.3 23 9893 9896 9020 9922 0925 9927 9929 9A31 9932 9934 9936 24 24 91 1943 9945 9946 9948 9949 9951 9952 2.5 0038 9940 9941 9955 9956 9957 9959 9960 9961 9962 9963 9964 2.6 9953 9966 9967 9908 9969 9970 9971 9972 9973 9974 2.7 9905 9074 9975 9978 9977 9977 9978 9979 9979 9980 9981 2.8 9081 9982 0982 9983 9984 .9984 9985 9985 9986 0986 2.9 9987 9987 9987 0988 9988 9989 9089 9989 9990 .9990 3.0 9900 9991 9991 9991 9992 9992 9992 9992 9993 9993 3.1 11 3.2 9903 9993 9994 .9994 9994 9994 9994 9995 9995 9995 3.2 33 9905 9995 9906 9996 9996 9996 9996 9996 9997 3.3 9907 9997 9997 997 9997 9997 9997 9997 9997 998 3.4 3.50 and up 3.50 and up 9999 00 01 02 03 04 06 07 08 09 NOTE: For values of z above 3.49, use 0.9999 for the area. Common Critical Values Confidence Critical Value Level *Use these common values that result from interpolation 0.90 1.645 2Score Area 0.95 1.96 1.645 0.9500 0.99 2.575 2.575 0.9950
Use the sample data and confidence level given below to complete parts (a) through (d).
In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2504 subjects randomly selected from an
online group involved with ears, 1126 surveys were returned. Construct a 95% confidence interval for the proportion of returned surveys.
Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E=D
(Round to three decimal places as needed.)
c) Construct the confidence interval.
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
O A. One has 95% confidence that the sample proportion is equal to the population proportion.
O B. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population
proportion.
O C. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
O D. 95% of sample proportions will fall between the lower bound and the upper bound.
Transcribed Image Text:Use the sample data and confidence level given below to complete parts (a) through (d). In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2504 subjects randomly selected from an online group involved with ears, 1126 surveys were returned. Construct a 95% confidence interval for the proportion of returned surveys. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=D (Round to three decimal places as needed.) c) Construct the confidence interval. (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. O A. One has 95% confidence that the sample proportion is equal to the population proportion. O B. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O C. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound. O D. 95% of sample proportions will fall between the lower bound and the upper bound.
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