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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=0 (Round to three decimal places as needed.) c) Construct the confidence interval.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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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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