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 = 1072 and x =511 who said "yes." Use a 90% confidence level. 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. (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. O A. 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. O B. One has 90% confidence that the sample proportion is equal to the population proportion. O C. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. O D. 90% of sample proportions will fall between the lower bound and the upper bound.POSITIVE z Scores Cumulative Area from the LEFT 04 106 07 109 .00 01 102 5359 5080 .5120 5160 5199 5219 5279 5319 0.0 5000 5040 0.1 5557 5546 5636 5675 5714 5753 0.1 5398 5438 .5478 .5517 6064 6103 6141 0.2 0.2 5793 5832 5871 5910 5948 5987 6026 6517 1.3 6255 6293 6331 B368 6406 6443 6480 0.3 6179 6217 6736 6772 6808 6844 6879 0.4 0.4 6591 6684 6700 6554 6628 7123 7157 7190 .7224 0.5 6950 6985 .7054 0.5 .6915 .7019 7088 06 7422 7454 7486 7517 7549 0.6 7257 7291 7324 .7357 7852 07 7784 7823 7580 7611 .7642 7673 7704 7734 .7764 0.7 8041 2106 8133 7981 7910 7939 7967 7995 8365 8389 0.9 81 86 .8212 8238 8264 8289 8315 8340 0.9 8159 8508 8531 8599 1.0 8564 8577 8621 1.0 8413 8438 8461 8485 1810 1 1 .8685 8708 872 8749 8770 4790 1.1 8643 8997 1.2 BBBB 8925 8902 8980 9015 1.2 81849 8069 8907 8944 9177 1.3 9115 9131 9147 9167 1.3 9032 .9049 .9066 .9082 9098 9279 97292 9306 9319 1.4 9235 9251 9265 1.4 9192 9207 9222 9429 9441 9345 9357 9370 9352 9304 9406 9418 1.5 9332 9505 9515 9525 9435 9545 1.6 1.6 9452 9463 9474 9484 9495 9616 9624 9633 9454 9564 9573 9582 9591 1.7 9706 1.8 9641 9649 9656 9664 9471 1.8 9767 9744 9750 9756 9761 1.9 1.9 9713 9719 9726 9732 9803 9804 9412 9817 2.0 9772 .9783 9788 9793 9798 2.0 9778 9846 9850 9854 9857 2.1 9838 9842 2.1 9821 9826 .9830 9834 9890 2.2 9881 9884 9387 2.2 9861 9864 9868 9871 9916 9906 9909 9413 2.3 2.3 9806 .9898 9904 9893 .9901 9932 9936 2.4 9027 0929 0931 24 9718 9920 9922 9025 9948 9949 9951 9952 2.5 25 9938 9940 9941 9043 8945 8946 9963 26 9955 9956 9957 9959 9060 9961 9962 26 9953 27 9967 .9068 9060 0970 9971 9072 9073 27 9065 9066 997 0979 9980 9981 28 28 9974 9975 9976 9977 9077 9085 9986 9086 .9083 9084 9084 29 9981 9082 .9082 9789 9090 30 3.0 9087 9087 1988 9958 9902 9092 9092 9093 9093 3.1 9091 .9991 3.1 9090 .9991 9096 9095 32 3.2 9093 9094 9994 9994 9094 9806 9097 3.3 9996 9996 9096 9996 9806 3.3 9905 9095 9095 4666 4666 2666 .9997 9947 9997 9498 9247 9497 1666 3.50 and up 3.50 and up 9949 406 .07 .09 01 02 103 04 NOTE: For values of zabove 3.49, use 0.9399 for the area.LUMOUNCE Level Value "Use these common values that result from interpolation: 0.90 1.645 Area 0.95 1.96 1.645 0.9500 0.99 2.575 2.575 0.9950