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.

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6th Edition
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Author:Amos Gilat
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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 2516 subjects randomly selected from an online group involved with
ears. 1001 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.
C
<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. 95% of sample proportions will fall between the lower bound and the upper bound.
O B. One has 95% confidence that the sample proportion is equal to the population proportion.
O C. 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 D. There is a 95% chance that the true value of the population proportion 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 2516 subjects randomly selected from an online group involved with ears. 1001 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. C <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. 95% of sample proportions will fall between the lower bound and the upper bound. O B. One has 95% confidence that the sample proportion is equal to the population proportion. O C. 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 D. There is a 95% chance that the true value of the population proportion 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
1.2
13
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.4
2.5
2.6
2.7
2.8
29
3.0
3.1
3.2
3.3
3.4
3.50 and up
2
00
5000
5398
5793
6179
6554
6815
3257
7580
7881
8159
8413
8849
9002
9152
9332
9452
9654
9641
9713
9772
9661
9063
9618
9638
9963
0
9985
9674
9967
9000
9066
99607
9000
Cumulative Area from the LEFT
.01
5040
5832
6217
7291
7611
7910
8186
8666
9049
3207
9345
9463
9649
9719
9778
9826
3864
9920
9940
.9955
.9975
9987
9993
9997
00
01
NOTE: For of above 3.49, use 0.9999 for the re
.02
5080
5478
5871
6255
6628
6985
7324
7642
7939
8212
3461
8686
8888
9066
9222
9357
5474
9573
9656
9726
9783
5630
1868
9622
9941
9666
9967
9676
POSITIVE z Scores
9994
9006
5120
5617
5910
8664
7019
7673
7967
8485
8708
9082
9370
9434
9602
9732
9788
9834
9871
9901
9943
9957
9977
9988
9994
9997
03
04
5160
5557
5945
6331
4700
7054
.7389
7704
7995
8508
8729
8025
9099
3251
8382
5495 .
9591
9671
9738
9793
9838
3875
9904
9945
9959
9909
9977
3984
9988
05
5199
5696
6736
7088
1422
7734
2531
8749
8944
9115
9265
9094
9505
95.99
9678
9744
9798
9842
90029
9946
9960
9970
9978
9989
9994
9997
05
06
5239
5325
8772
71:23
.7454
7764
8051
8315
3554
8770
2962
3279
9406
9515
9601
.9686
9750
9803
9846
3881
9909
9931
9948
9961
9971
9979
9985
9989
3922
9994
9997
07
5279
5675
8064
6443
6808
7157
3486
7794
8078
8340
8577
8790
8060
9147
9418
9756
9808
9884
9911
9932
9949
9972
9979
9989
9996
9000
07
08
5319
5714
6103
6480
6344
7190
7517
7823
3106
8305
3599
8810
2007
9162
3306
9429
9535
9625
309
9761
9812
9854
991:3
9934
9951
9963
9973
9980
3996
9990
9993
9995
9997
08
5359
5753
6141
6617
6879
7224
3549
7852
8133
8389
8621
8830
9015
9177
5019
9441
9645
9433
9706
9767
9617
9690
9916
9606
9964
9974
9961
9006
9960
9998
Common Critical Values
2
0.0
0.1
02
0.3
04
0.5
06
0.7
0.8
0.9
1.0
1.2
1.4
1.5
1.6
1.7
1.8
1.9
20
2.1
22
2.3
24
25
26
27
2.8
3.0
3.1
3.2
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 1.2 13 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.4 2.5 2.6 2.7 2.8 29 3.0 3.1 3.2 3.3 3.4 3.50 and up 2 00 5000 5398 5793 6179 6554 6815 3257 7580 7881 8159 8413 8849 9002 9152 9332 9452 9654 9641 9713 9772 9661 9063 9618 9638 9963 0 9985 9674 9967 9000 9066 99607 9000 Cumulative Area from the LEFT .01 5040 5832 6217 7291 7611 7910 8186 8666 9049 3207 9345 9463 9649 9719 9778 9826 3864 9920 9940 .9955 .9975 9987 9993 9997 00 01 NOTE: For of above 3.49, use 0.9999 for the re .02 5080 5478 5871 6255 6628 6985 7324 7642 7939 8212 3461 8686 8888 9066 9222 9357 5474 9573 9656 9726 9783 5630 1868 9622 9941 9666 9967 9676 POSITIVE z Scores 9994 9006 5120 5617 5910 8664 7019 7673 7967 8485 8708 9082 9370 9434 9602 9732 9788 9834 9871 9901 9943 9957 9977 9988 9994 9997 03 04 5160 5557 5945 6331 4700 7054 .7389 7704 7995 8508 8729 8025 9099 3251 8382 5495 . 9591 9671 9738 9793 9838 3875 9904 9945 9959 9909 9977 3984 9988 05 5199 5696 6736 7088 1422 7734 2531 8749 8944 9115 9265 9094 9505 95.99 9678 9744 9798 9842 90029 9946 9960 9970 9978 9989 9994 9997 05 06 5239 5325 8772 71:23 .7454 7764 8051 8315 3554 8770 2962 3279 9406 9515 9601 .9686 9750 9803 9846 3881 9909 9931 9948 9961 9971 9979 9985 9989 3922 9994 9997 07 5279 5675 8064 6443 6808 7157 3486 7794 8078 8340 8577 8790 8060 9147 9418 9756 9808 9884 9911 9932 9949 9972 9979 9989 9996 9000 07 08 5319 5714 6103 6480 6344 7190 7517 7823 3106 8305 3599 8810 2007 9162 3306 9429 9535 9625 309 9761 9812 9854 991:3 9934 9951 9963 9973 9980 3996 9990 9993 9995 9997 08 5359 5753 6141 6617 6879 7224 3549 7852 8133 8389 8621 8830 9015 9177 5019 9441 9645 9433 9706 9767 9617 9690 9916 9606 9964 9974 9961 9006 9960 9998 Common Critical Values 2 0.0 0.1 02 0.3 04 0.5 06 0.7 0.8 0.9 1.0 1.2 1.4 1.5 1.6 1.7 1.8 1.9 20 2.1 22 2.3 24 25 26 27 2.8 3.0 3.1 3.2 33 3.4 3.50 and up 2
Expert Solution
Step 1

Given that 

n = 2516 , X = 1001

95% confidence interval 

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