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Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 1031 and x = 543 who said "yes." Use a 90% confidence level. Click the icon to view a table of z scores. 0.527 (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=0.026 (Round to three decimal places as needed.) c) Construct the confidence interval. 0.501

Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 1031 and x = 543 who said "yes." Use a 90% confidence level. Click the icon to view a table of z scores. 0.527 (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=0.026 (Round to three decimal places as needed.) c) Construct the confidence interval. 0.501

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 1031 and x = 543 who said "yes." Use a 90% confidence level. Click the icon to view a table of z scores. 0.527 (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=0.026 (Round to three decimal places as needed.) c) Construct the confidence interval. 0.501 <p<0.553 (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. OA. 90% of sample proportions will fall between the lower bound and the upper bound. OB. One has 90% confidence that the sample proportion is equal to the population proportion. OC. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. OD. There is a 90% 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). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 1031 and x = 543 who said "yes." Use a 90% confidence level. Click the icon to view a table of z scores. 0.527 (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=0.026 (Round to three decimal places as needed.) c) Construct the confidence interval. 0.501 <p<0.553 (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. OA. 90% of sample proportions will fall between the lower bound and the upper bound. OB. One has 90% confidence that the sample proportion is equal to the population proportion. OC. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. OD. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
Standard Normal (z) Distribution 0 POSITIVE z Scores Cumulative Area from the LEFT 2 00 .01 02 03 04 05 06 07 08 09 2 0.0 5000 5040 5080 5120 5160 5199 5239 5279 5319 5359 0.0 0.1 5396 5438 5478 5517 5557 5596 5636 5675 5714 5753 0.1 0.2 5793 5832 25871 5910 5948 5987 6026 6064 6103 6141 0.2 03 6179 6217 6255 6293 6331 6368 6406 6443 6480 8517 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 06 7257 7291 7324 7357 7389 7422 7454 7486 7517 7549 06 07 7580 7611 .7642 7673 7704 7734 7764 7794 7823 7852 0.7 0.8 7881 7910 7939 7967 7995 8023 8051 8078 8106 8133 0.8 0.9 8159 8186 8212 8238 8264 8289 8315 8340 8365 8389 0.9 1.0 8413 8438 8461 8485 8508 8531 8554 8577 8599 8621 1.0 1.1 8643 8665 8686 8708 8729 8749 .8770 8790 8810 8830 1.1 1.2 8849 8869 8888 8907 8925 8944 .8962 8980 8997 9015 1.2 13 .9032 9049 9066 9082 9099 9115 9131 9147 9162 9177 1.3 14 9192 9207 9222 9236 .9251 9265 9279 9292 9306 9319 1.4 15 9332 9345 9357 9370 .9382 9394 9406 9418 9429 9441 1.5 1.6 9452 9463 9474 9484 9495 9505 9615 .9525 9535 9545 1.6 1.7 9554 9564 9573 .9582 .9591 9599 9608 .9616 9625 9633 1.7 18 9641 9649 9656 9664 .9671 9678 9686 9693 9699 9706 1.8 19 9713 9719 9726 9732 9738 9744 9750 9756 9761 9767 1.9 2.0 9772 9778 9783 9788 9793 9798 .9803 .9808 9812 9817 20 2.1 9821 9826 9830 9834 9838 9842 9846 9850 9854 9857 21 22 9861 9864 9868 9871 9875 9878 9681 9884 9887 9890 2.2 2.3 9893 9896 9898 9901 9904 9906 9909 9911 9913 9916 23 24 9918 9920 9922 9925 9927 9929 9931 .9932 9934 9936 2.4 2.5 9938 9940 9941 9943 9945 9946 9948 9949 9951 9952 2.5 26 9953 9955 9956 9957 9959 9960 9961 9962 9963 9964 2.6 27 9965 9966 9967 9968 9969 .9970 9971 9972 9973 9974 2.7 28 9974 9975 9976 9977 9977 9978 9979 9979 9980 9981 2.8 29 9981 9982 9982 9983 9984 .9984 9985 9985 9986 9986 2.9 3.0 9987 9987 9987 9988 9988 9989 .9989 9969 9990 9990 3.0 3.1 9990 9991 99911 9991 9992 9992 9992 9992 9993 9993 3.1 3.2 9993 9993 9994 9994 9994 .9994 9994 9995 9995 9995 3.2 3.3 9995 9995 9995 9996 9996 .9996 9996 9996 9996 9997 3.3 3.4 9997 9997 9997 9997 9997 9997 9997 9997 9997 9998 3.4 3.50 and up 9999 3.50 and up .00 01 02 03 04 .05 .06 .07 08 09 2 NOTE: For values of z above 3.49, use 0.9999 for the area. "Use these common values that result from interpolation: 2 Score 1.645 Area 2.575 0.9500 0.9950 Common Critical Values Confidence Critical Level Value 0.90 1.645 0.95. 1.96 0.99 2.575
Transcribed Image Text:Standard Normal (z) Distribution 0 POSITIVE z Scores Cumulative Area from the LEFT 2 00 .01 02 03 04 05 06 07 08 09 2 0.0 5000 5040 5080 5120 5160 5199 5239 5279 5319 5359 0.0 0.1 5396 5438 5478 5517 5557 5596 5636 5675 5714 5753 0.1 0.2 5793 5832 25871 5910 5948 5987 6026 6064 6103 6141 0.2 03 6179 6217 6255 6293 6331 6368 6406 6443 6480 8517 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 06 7257 7291 7324 7357 7389 7422 7454 7486 7517 7549 06 07 7580 7611 .7642 7673 7704 7734 7764 7794 7823 7852 0.7 0.8 7881 7910 7939 7967 7995 8023 8051 8078 8106 8133 0.8 0.9 8159 8186 8212 8238 8264 8289 8315 8340 8365 8389 0.9 1.0 8413 8438 8461 8485 8508 8531 8554 8577 8599 8621 1.0 1.1 8643 8665 8686 8708 8729 8749 .8770 8790 8810 8830 1.1 1.2 8849 8869 8888 8907 8925 8944 .8962 8980 8997 9015 1.2 13 .9032 9049 9066 9082 9099 9115 9131 9147 9162 9177 1.3 14 9192 9207 9222 9236 .9251 9265 9279 9292 9306 9319 1.4 15 9332 9345 9357 9370 .9382 9394 9406 9418 9429 9441 1.5 1.6 9452 9463 9474 9484 9495 9505 9615 .9525 9535 9545 1.6 1.7 9554 9564 9573 .9582 .9591 9599 9608 .9616 9625 9633 1.7 18 9641 9649 9656 9664 .9671 9678 9686 9693 9699 9706 1.8 19 9713 9719 9726 9732 9738 9744 9750 9756 9761 9767 1.9 2.0 9772 9778 9783 9788 9793 9798 .9803 .9808 9812 9817 20 2.1 9821 9826 9830 9834 9838 9842 9846 9850 9854 9857 21 22 9861 9864 9868 9871 9875 9878 9681 9884 9887 9890 2.2 2.3 9893 9896 9898 9901 9904 9906 9909 9911 9913 9916 23 24 9918 9920 9922 9925 9927 9929 9931 .9932 9934 9936 2.4 2.5 9938 9940 9941 9943 9945 9946 9948 9949 9951 9952 2.5 26 9953 9955 9956 9957 9959 9960 9961 9962 9963 9964 2.6 27 9965 9966 9967 9968 9969 .9970 9971 9972 9973 9974 2.7 28 9974 9975 9976 9977 9977 9978 9979 9979 9980 9981 2.8 29 9981 9982 9982 9983 9984 .9984 9985 9985 9986 9986 2.9 3.0 9987 9987 9987 9988 9988 9989 .9989 9969 9990 9990 3.0 3.1 9990 9991 99911 9991 9992 9992 9992 9992 9993 9993 3.1 3.2 9993 9993 9994 9994 9994 .9994 9994 9995 9995 9995 3.2 3.3 9995 9995 9995 9996 9996 .9996 9996 9996 9996 9997 3.3 3.4 9997 9997 9997 9997 9997 9997 9997 9997 9997 9998 3.4 3.50 and up 9999 3.50 and up .00 01 02 03 04 .05 .06 .07 08 09 2 NOTE: For values of z above 3.49, use 0.9999 for the area. "Use these common values that result from interpolation: 2 Score 1.645 Area 2.575 0.9500 0.9950 Common Critical Values Confidence Critical Level Value 0.90 1.645 0.95. 1.96 0.99 2.575
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