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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 = 983 and x 599 who said "yes." Use a 99% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. 0.609+ (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. (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 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. O.B. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O C. 99% of sample proportions will fall between the lower bound and the upper bound. O D. One has 99% confidence that the sample proportion is equal to the population proportion.

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 = 983 and x 599 who said "yes." Use a 99% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. 0.609+ (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. (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 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. O.B. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O C. 99% of sample proportions will fall between the lower bound and the upper bound. O D. One has 99% confidence that the sample proportion is equal to the population proportion.

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 = 983 and x = 599 who said "yes." Use a 99% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. 0.609 + (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. (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 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. O.B. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O C. 99% of sample proportions will fall between the lower bound and the upper bound. O D. One has 99% confidence that the sample proportion is equal to the population proportion. More
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 = 983 and x = 599 who said "yes." Use a 99% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. 0.609 + (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. (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 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. O.B. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O C. 99% of sample proportions will fall between the lower bound and the upper bound. O D. One has 99% confidence that the sample proportion is equal to the population proportion. More
A1 X v fx Positive z Scores B. H 1 Positive z Scores 2 Standard Normal (2) Distribution: Cumulative Area from the Left 0.05 0.5199 0.5596 0.06 0.5239 0.5636 32 0.01 0.02 0.03 0.04 0.07 0.08 0.09 z 0.5 0.5398 0.504 0.5438 0.516 0,5557 0.5279 0.5675 0.6064 4. 0.508 0.5359 0.5753 0.6141 0.6517 0.6879 0.7224 0.512 0.516 0.5319 0.5714 0.6103 0.648 0.6844 0.1 0.5478 0.5517 0.5636 0.5675 0.1 6. 0.2 0.5793 0.5832 0.5871 0.591 0.5948 0.5987 0.6026 0.2 0.3 0.6179 0.6368 0.6179 0.6217 0.6255 0.6293 0.6331 0.6406 0.6443 0.3 8 0.4 0.6554 0.6591 0.6628 0.6664 0.67 0.6736 0.6772 0.6808 0.4 0.7019 0.7357 0.7673 9 0.5 0.6915 0.695 0.6985 0.7054 0.7088 0.7123 0.7157 0.719 0.5 10 0.7486 0.7794 0.8078 0.834 0.8577 0.6 0.7257 0.7291 0.7324 0.7389 0.7422 0.7454 0.7517 0.7549 0.6 11 0.7 0.758 0.7611 0.7642 0,7764 0.7823 0.8106 0.8365 0.7704 0.7734 0.7852 0.7 12 0.8 0.7881 0.791 0.7939 0.7967 0.7995 0.8023 0.8051 0.8133 0.8 13 0.9 0.8159 0.8315 0.8186 0.8438 0.8212 0.8238 0.8264 0.8289 0.8389 0.9 14 0.8413 0.8461 0.8485 0.8508 0.8531 0.8554 0.8599 0.8621 1 15 0.8643 0.8708 0.877 0.8962 1.1 0.8665 0.8686 0.8729 0.8749 0.879 0.881 0.883 1.1 16 1.2 0.8849 0.9015 0.898 0.9147 0.9292 0.9418 0.9525 0.9616 0.9693 0.8869 0.8888 0.8907 0.8925 0.8944 0.8997 1.2 17 0.9099 0.9251 1.3 0.9032 0.9049 0.9066 0.9082 0.9115 0.9131 0.9162 0.9177 1.3 0.9192 0.9332 0.9452 18 1.4 0.9207 0.9222 0.9236 0.9265 0.9279 0.9306 0.9319 1.4 19 1.5 0.9345 0.9357 0.937 0.9382 0.9394 0.9406 0.9429 0.9441 1.5 20 1.6 0.9463 0.9564 0.9649 0.9474 0.9484 0.9495 0.9505 0.9515 0.9535 0.9545 1.6 21 1.7 0.9554 0.9573 0.9582 0.9608 0.9686 0.975 0.9591 0.9599 0.9625 0.9633 1.7 22 0.9641 0.9656 0.9726 1.8 0.9664 0.9732 0.9671 0.9678 0.9699 0.9706 1.8 23 0.9756 0.9808 1.9 0.9713 0.9719 0.9738 0.9744 0.975 0.9761 0.9767 1.9 24 0.9778 0.9772 0.9821 0.9861 0.9893 0.9783 0.9788 0.9793 0.9798 0.9803 0.9812 0.9817 2 25 2.1 0.9826 0.9864 0.983 0.9834 0.9838 0.985 0.9884 0.9842 0.9846 0.9854 0.9857 2.1 26 2.2 0.9875 0.9868 0.9871 0.9878 0.9881 0.9887 0.989 2.2 27 2.3 0.9898 0.9922 0.9941 0.9956 0.9896 0.9901 0.9904 0.9909 0.9931 0.9906 0.9911 0.9913 0.9916 2.3 28 2.4 0.9925 0.9918 0.992 0.9927 0.9929 0.9932 0.9934 0.9936 2.4 29 0.9938 0.9953 2.5 0.994 0.9948 0.9961 0.9943 0.9945 0.9946 0.9949 0.9962 0.9972 0.9951 0.9952 2.5 30 2.6 0.9955 0.9957 0.9959 0.996 0.9963 0.9964 2.6 31 2.7 2.8 0.9968 0.9977 0.9965 0.9966 0.9967 0.9969 0.997 0.9971 0,9979 0.9985 0.9973 0.9974 2.7 32 0.9974 0.9975 0.9976 0.9978 0.9977 0.9979 0.998 0.9981 2.8 33 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9986 0.9986 2.9 34 0.9987 0.9988 3 0.9987 0.9987 0.9989 0.9992 0.9988 0.9989 0.9989 0.9992 0.9994 0.9995 0.999 0.999 3 35 3.1 0.999 0.9991 0.9991 0.9991 0.9992 0.9992 0.9993 0.9995 0.9996 0.9993 3.1 36 3.2 0.9993 0.9993 0.9994 0.9996 0.9997 0.9994 0.9994 0.9994 0.9995 3.2 37 3.3 0.9995 0.9995 0.9996 0.9995 0.9996 0.9996 0.9996 0.9997 0.9997 3.3 38 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 39 3.50 and up 3.4 0.9999 40 z 3.50 and up 0.01 0.02 0.03 0.04 0.05 0.06 0.09 z 41 Note: For values of z above 3.49, use 0.9999 for the area. 0.07 0.08 42 "Use these common values that result from interpolation: 43 z score Area 44 1.645 0.95 45 2.575 0.995 46 Common Critical Values 47 Confidence Level Critical Value 48 0.9 1.645 49 0.95 1.96 50 0.99 2.575 51
Transcribed Image Text:A1 X v fx Positive z Scores B. H 1 Positive z Scores 2 Standard Normal (2) Distribution: Cumulative Area from the Left 0.05 0.5199 0.5596 0.06 0.5239 0.5636 32 0.01 0.02 0.03 0.04 0.07 0.08 0.09 z 0.5 0.5398 0.504 0.5438 0.516 0,5557 0.5279 0.5675 0.6064 4. 0.508 0.5359 0.5753 0.6141 0.6517 0.6879 0.7224 0.512 0.516 0.5319 0.5714 0.6103 0.648 0.6844 0.1 0.5478 0.5517 0.5636 0.5675 0.1 6. 0.2 0.5793 0.5832 0.5871 0.591 0.5948 0.5987 0.6026 0.2 0.3 0.6179 0.6368 0.6179 0.6217 0.6255 0.6293 0.6331 0.6406 0.6443 0.3 8 0.4 0.6554 0.6591 0.6628 0.6664 0.67 0.6736 0.6772 0.6808 0.4 0.7019 0.7357 0.7673 9 0.5 0.6915 0.695 0.6985 0.7054 0.7088 0.7123 0.7157 0.719 0.5 10 0.7486 0.7794 0.8078 0.834 0.8577 0.6 0.7257 0.7291 0.7324 0.7389 0.7422 0.7454 0.7517 0.7549 0.6 11 0.7 0.758 0.7611 0.7642 0,7764 0.7823 0.8106 0.8365 0.7704 0.7734 0.7852 0.7 12 0.8 0.7881 0.791 0.7939 0.7967 0.7995 0.8023 0.8051 0.8133 0.8 13 0.9 0.8159 0.8315 0.8186 0.8438 0.8212 0.8238 0.8264 0.8289 0.8389 0.9 14 0.8413 0.8461 0.8485 0.8508 0.8531 0.8554 0.8599 0.8621 1 15 0.8643 0.8708 0.877 0.8962 1.1 0.8665 0.8686 0.8729 0.8749 0.879 0.881 0.883 1.1 16 1.2 0.8849 0.9015 0.898 0.9147 0.9292 0.9418 0.9525 0.9616 0.9693 0.8869 0.8888 0.8907 0.8925 0.8944 0.8997 1.2 17 0.9099 0.9251 1.3 0.9032 0.9049 0.9066 0.9082 0.9115 0.9131 0.9162 0.9177 1.3 0.9192 0.9332 0.9452 18 1.4 0.9207 0.9222 0.9236 0.9265 0.9279 0.9306 0.9319 1.4 19 1.5 0.9345 0.9357 0.937 0.9382 0.9394 0.9406 0.9429 0.9441 1.5 20 1.6 0.9463 0.9564 0.9649 0.9474 0.9484 0.9495 0.9505 0.9515 0.9535 0.9545 1.6 21 1.7 0.9554 0.9573 0.9582 0.9608 0.9686 0.975 0.9591 0.9599 0.9625 0.9633 1.7 22 0.9641 0.9656 0.9726 1.8 0.9664 0.9732 0.9671 0.9678 0.9699 0.9706 1.8 23 0.9756 0.9808 1.9 0.9713 0.9719 0.9738 0.9744 0.975 0.9761 0.9767 1.9 24 0.9778 0.9772 0.9821 0.9861 0.9893 0.9783 0.9788 0.9793 0.9798 0.9803 0.9812 0.9817 2 25 2.1 0.9826 0.9864 0.983 0.9834 0.9838 0.985 0.9884 0.9842 0.9846 0.9854 0.9857 2.1 26 2.2 0.9875 0.9868 0.9871 0.9878 0.9881 0.9887 0.989 2.2 27 2.3 0.9898 0.9922 0.9941 0.9956 0.9896 0.9901 0.9904 0.9909 0.9931 0.9906 0.9911 0.9913 0.9916 2.3 28 2.4 0.9925 0.9918 0.992 0.9927 0.9929 0.9932 0.9934 0.9936 2.4 29 0.9938 0.9953 2.5 0.994 0.9948 0.9961 0.9943 0.9945 0.9946 0.9949 0.9962 0.9972 0.9951 0.9952 2.5 30 2.6 0.9955 0.9957 0.9959 0.996 0.9963 0.9964 2.6 31 2.7 2.8 0.9968 0.9977 0.9965 0.9966 0.9967 0.9969 0.997 0.9971 0,9979 0.9985 0.9973 0.9974 2.7 32 0.9974 0.9975 0.9976 0.9978 0.9977 0.9979 0.998 0.9981 2.8 33 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9986 0.9986 2.9 34 0.9987 0.9988 3 0.9987 0.9987 0.9989 0.9992 0.9988 0.9989 0.9989 0.9992 0.9994 0.9995 0.999 0.999 3 35 3.1 0.999 0.9991 0.9991 0.9991 0.9992 0.9992 0.9993 0.9995 0.9996 0.9993 3.1 36 3.2 0.9993 0.9993 0.9994 0.9996 0.9997 0.9994 0.9994 0.9994 0.9995 3.2 37 3.3 0.9995 0.9995 0.9996 0.9995 0.9996 0.9996 0.9996 0.9997 0.9997 3.3 38 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 39 3.50 and up 3.4 0.9999 40 z 3.50 and up 0.01 0.02 0.03 0.04 0.05 0.06 0.09 z 41 Note: For values of z above 3.49, use 0.9999 for the area. 0.07 0.08 42 "Use these common values that result from interpolation: 43 z score Area 44 1.645 0.95 45 2.575 0.995 46 Common Critical Values 47 Confidence Level Critical Value 48 0.9 1.645 49 0.95 1.96 50 0.99 2.575 51
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