In a study of cell phone use and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 2506subjects randomly selected from an online group involved with ears. 1046 surveys were returned. Construct a 90​% confidence interval for the proportion of returned surveys.     ​a) Find the best point estimate of the population proportion p.   ​b) Identify the value of the margin of error E.     ​c) Construct the confidence interval.     ​d) Write a statement that correctly interprets the confidence interval.

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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 2506subjects randomly selected from an online group involved with ears. 1046 surveys were returned. Construct a
90​% confidence interval for the proportion of returned surveys.
 
 
​a) Find the best point estimate of the population proportion p.
 
​b) Identify the value of the margin of error E.
 
 
​c) Construct the confidence interval.
 
 
​d) Write a statement that correctly interprets the confidence interval. 
Standard normal (z) distribution
POSITIVE z Scores
Cumulative Area from the LEFT
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0
.5000
.5040
.5080
.5120
.5160
.5199
.5239
.5279
.5319
.5359
0.0
0.1
.5398
.5438
.5478
.5517
.5557
.5596
.5636
.5675
.5714
.5753
0.1
0.2
.5793
.5832
.5871
.5910
.5948
.5987
.6026
.6064
.6103
.6141
0.2
0.3
.6179
.6217
.6255
.6293
.6331
.6368
.6406
.6443
.6480
.6517
0.3
0.4
.6554
.6591
.6628
.6664
.6700
.6736
.6772
.6808
.6844
.6879
0.4
0.5
.6915
.6950
.6985
.7019
.7054
.7088
.7123
.7157
.7190
.7224
0.5
0.6
.7257
.7291
.7324
.7357
.7389
.7422
.7454
.7486
.7517
.7549
0.6
0.7
.7580
.7611
.7642
.7673
.7704
.7734
.7764
.7794
.7823
.7852
0.7
Transcribed Image Text:Standard normal (z) distribution POSITIVE z Scores Cumulative Area from the LEFT .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 0.0 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.1 0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141 0.2 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 0.3 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.4 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 0.5 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 0.6 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 0.7
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