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 2660 subjects randomly selected from an online group involved with ears. 1037 surveys were returned. Construct a 99% confidence interval for the proportion of returned survey: - X Standard Normal (z) Distribution Z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 .00 5000 5398 5793 6179 .6554 6915 .7257 7580 .7881 .8159 .8413 .8643 .8849 0 POSITIVE z Scores Cumulative Area from the LEFT .01 .02 5040 .5080 5438 5478 .5832 .5871 .6217 .6255 .6591 .6628 .6950 .6985 .7291 .7324 .7611 .7642 .7910 .7939 .8186 .8212 .8461 8686 8888 .8438 .8665 .8869 .03 .5120 .5517 5910 6293 .6664 .7019 .7357 .7673 .7967 8238 8485 8708 8907 04 5160 5557 5948 .6331 .6700 .7054 .7389 .7704 .7995 .8264 .8508 .8729 8925 .05 5199 5596 5987 .6368 .6736 .7088 .7422 .7734 .8023 .8289 .8531 .8749 .8944 .06 5239 5636 .6026 .6406 .6772 .7123 .7454 .7764 .8051 .8315 .8554 .8770 8962 .07 5279 .5675 6064 .6443 .6808 .7157 .7486 .7794 .8078 8340 .8577 .8790 .8980 .08 5319 5714 .6103 6480 6844 .7190 7517 .7823 .8106 .8365 .8599 8810 8997 .09 5359 .5753 .6141 .6517 .6879 .7224 .7549 7852 8133 .8389 .8621 .8830 .9015 Z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2
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 2660 subjects randomly selected from an online group involved with ears. 1037 surveys were returned. Construct a 99% confidence interval for the proportion of returned survey: - X Standard Normal (z) Distribution Z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 .00 5000 5398 5793 6179 .6554 6915 .7257 7580 .7881 .8159 .8413 .8643 .8849 0 POSITIVE z Scores Cumulative Area from the LEFT .01 .02 5040 .5080 5438 5478 .5832 .5871 .6217 .6255 .6591 .6628 .6950 .6985 .7291 .7324 .7611 .7642 .7910 .7939 .8186 .8212 .8461 8686 8888 .8438 .8665 .8869 .03 .5120 .5517 5910 6293 .6664 .7019 .7357 .7673 .7967 8238 8485 8708 8907 04 5160 5557 5948 .6331 .6700 .7054 .7389 .7704 .7995 .8264 .8508 .8729 8925 .05 5199 5596 5987 .6368 .6736 .7088 .7422 .7734 .8023 .8289 .8531 .8749 .8944 .06 5239 5636 .6026 .6406 .6772 .7123 .7454 .7764 .8051 .8315 .8554 .8770 8962 .07 5279 .5675 6064 .6443 .6808 .7157 .7486 .7794 .8078 8340 .8577 .8790 .8980 .08 5319 5714 .6103 6480 6844 .7190 7517 .7823 .8106 .8365 .8599 8810 8997 .09 5359 .5753 .6141 .6517 .6879 .7224 .7549 7852 8133 .8389 .8621 .8830 .9015 Z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 2660 subjects randomly selected from an online group involved with ears. 1037 surveys were returned. Construct a 99% confidence interval for the proportion of returned surveys.
X
Standard Normal (z) Distribution
Z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
.00
.5000
.5398
.5793
.6179
.6554
.6915
.7257
.7580
.7881
.8159
.8413
.8643
.8849
0
Z
Cumulative Area from the LEFT
.01
.5040
.5438
.5832
.6217
.6591
.6950
.7291
.7611
.7910
.8186
.8438
.8665
.8869
POSITIVE z Scores
.02
.5080
.5478
.5871
.6255
.6628
.6985
.7324
.7642
.7939
.8212
.8461
.8686
.8888
.03
.5120
.5517
.5910
.6293
.6664
.7019
.7357
.7673
.7967
.8238
.8485
.8708
.8907
.04
5160
.5557
.5948
.6331
.6700
.7054
.7389
.7704
.7995
.8264
.8508
.8729
.8925
.05
.5199
.5596
.5987
.6368
.6736
.7088
.7422
.7734
.8023
.8289
.8531
.8749
.8944
.06
.5239
.5636
.6026
.6406
.6772
.7123
.7454
.7764
.8051
.8315
.8554
.8770
.8962
.07
.5279
.5675
.6064
.6443
.6808
.7157
.7486
.7794
.8078
.8340
.8577
.8790
.8980
.08
5319
.5714
.6103
.6480
.6844
.7190
.7517
.7823
.8106
.8365
.8599
.8810
.8997
.09
.5359
.5753
.6141
.6517
.6879
.7224
.7549
.7852
.8133
.8389
.8621
.8830
.9015
Z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
Transcribed Image Text: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<0
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. One has 90% confidence that the sample proportion is equal to the population proportion.
B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
Ona han 0 annfidenan that the intamal form the lawine haviad to the linnao halad natually daan aantain the true value of the
Click to select your answer(s).
?
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(a)
Obtain the point estimate of the population proportion p.
The point estimate of the population proportion p is obtained below as follows:
From the information, given that n=2660,x=1037.
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