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 2444 subjects randomly selected from an online group involved with ears. 1139 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=0 (Round to three decimal places as needed.) c) Construct the confidence interval.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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 2444 subjects randomly selected from an online group involved with
ears. 1139 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=
(Round to three decimal places as needed.)
c) Construct the confidence interval.
(…)
<p<
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
O A. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
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.
One has 95% confidence that the sample proportion is equal to the population proportion.
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 2444 subjects randomly selected from an online group involved with ears. 1139 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= (Round to three decimal places as needed.) c) Construct the confidence interval. (…) <p< (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. O A. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound. 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. One has 95% confidence that the sample proportion is equal to the population proportion. O D. 95% of sample proportions will fall between the lower bound and the upper bound.
2
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
12
13
1.4
1.5
1.6
1.7
1.8
1.9
2.0
21
2.2
2.3
2.4
25
2.6
27
2.8
2.9
3.0
3.1
3.2
3.3
3.4
.00
5000
5398
5793
2
6179
6554
6915
7257
7580
7881
8158
8413
1643
1849
9002
9152
9332
9452
9654
9641
9713
9772
9661
9663
9918
9608
9663
9065
9674
9061
1967
9006
9667
Cumulative Area from the LEFT
.01
5040
5438
5832
6217
9950
7291
7611
7910
8186
3438
2006
9049
9207
9345
9463
9719
9778
9826
9396
9920
9940
.9955
9906
9975
9987
2201
9993
9995
9997
02
5000
5478
5871
6255
6628
6985
7324
7642
7939
8212
3461
8686
9673
9656
3726
9783
098
9622
9641
9956
9676
9904
1996
9667
00
01
NOTE: For of above 3.49, use 0.9999 for the area
POSITIVE Z Scores
8888
9066
9062
1222 3236
9357
9370
5474
9434
02
03
5120
5617
5910
7019
7673
7967
3485
8708
9664
9732
9788
9834
9901
9943
9957
.9977
9994
9666
9997
03
04
5160
5557
5945
6331
6700
7054
.7389
7704
7995
8264
8508
8729
8025
9099
3251
8382
5495 .
9091
9671
9738
9793
9638
3875
9904
9927
9945
9959
9909
9977
3984
9048
9002
9994
9006
9967
04
06
$100
7088
TTM
1073
8531
8749
9115
9394
9506
9744
9798
9642
9946
9970
9978
9994
9997
05
06
5239
5636
5325
6406
6772
71:23
2454
7764
8051
8315
3554
8770
9131
3279
9406
9515
9601
9686
9750
9803
9846
9909
9948
9971
9979
9985
9989
3902
9994
9997
06
07
5279
5675
8064
6443
6808
7157
3486
7794
BOTE
8340
1577
8790
9147
9418
9625
9756
9808
9884
9911
9949
9912
9979
9997
07
08
5319
5714
6103
6480
7190
7823
3106
8365
3599
8810
9162
3306
9429
.9535
9625
9999
3701
9812
9854
3887
991:3
9934
9951
9963
9973
9980
3935
9990
9995
9996
9997
08
09
5350
5753
6141
6617
6879
7224
7549
1852
8133
8389
9015
9177
5019
9441
9645
9767
9617
9690
9916
9964
9074
9961
9000
9998
Common Critical Values
2
0.0
0.1
0.2
0.3
0.4
=====2=223:
0.5
06
0.7
08
0.9
1.0
1.1
1.2
1.4
1.5
1.6
1.7
1.8
1.9
20
2.1
22
23
24
25
26
27
2.8
29
3.0
3.1
32
33
3.4
3.50 and up
2
Transcribed Image Text:2 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 12 13 1.4 1.5 1.6 1.7 1.8 1.9 2.0 21 2.2 2.3 2.4 25 2.6 27 2.8 2.9 3.0 3.1 3.2 3.3 3.4 .00 5000 5398 5793 2 6179 6554 6915 7257 7580 7881 8158 8413 1643 1849 9002 9152 9332 9452 9654 9641 9713 9772 9661 9663 9918 9608 9663 9065 9674 9061 1967 9006 9667 Cumulative Area from the LEFT .01 5040 5438 5832 6217 9950 7291 7611 7910 8186 3438 2006 9049 9207 9345 9463 9719 9778 9826 9396 9920 9940 .9955 9906 9975 9987 2201 9993 9995 9997 02 5000 5478 5871 6255 6628 6985 7324 7642 7939 8212 3461 8686 9673 9656 3726 9783 098 9622 9641 9956 9676 9904 1996 9667 00 01 NOTE: For of above 3.49, use 0.9999 for the area POSITIVE Z Scores 8888 9066 9062 1222 3236 9357 9370 5474 9434 02 03 5120 5617 5910 7019 7673 7967 3485 8708 9664 9732 9788 9834 9901 9943 9957 .9977 9994 9666 9997 03 04 5160 5557 5945 6331 6700 7054 .7389 7704 7995 8264 8508 8729 8025 9099 3251 8382 5495 . 9091 9671 9738 9793 9638 3875 9904 9927 9945 9959 9909 9977 3984 9048 9002 9994 9006 9967 04 06 $100 7088 TTM 1073 8531 8749 9115 9394 9506 9744 9798 9642 9946 9970 9978 9994 9997 05 06 5239 5636 5325 6406 6772 71:23 2454 7764 8051 8315 3554 8770 9131 3279 9406 9515 9601 9686 9750 9803 9846 9909 9948 9971 9979 9985 9989 3902 9994 9997 06 07 5279 5675 8064 6443 6808 7157 3486 7794 BOTE 8340 1577 8790 9147 9418 9625 9756 9808 9884 9911 9949 9912 9979 9997 07 08 5319 5714 6103 6480 7190 7823 3106 8365 3599 8810 9162 3306 9429 .9535 9625 9999 3701 9812 9854 3887 991:3 9934 9951 9963 9973 9980 3935 9990 9995 9996 9997 08 09 5350 5753 6141 6617 6879 7224 7549 1852 8133 8389 9015 9177 5019 9441 9645 9767 9617 9690 9916 9964 9074 9961 9000 9998 Common Critical Values 2 0.0 0.1 0.2 0.3 0.4 =====2=223: 0.5 06 0.7 08 0.9 1.0 1.1 1.2 1.4 1.5 1.6 1.7 1.8 1.9 20 2.1 22 23 24 25 26 27 2.8 29 3.0 3.1 32 33 3.4 3.50 and up 2
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