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 .06 04 5359 0.0 5160 5199 5239 4279 5319 .5040 .5080 -5120 0.1 0.0 5000 5638 5675 5714 5753 5567 5398 5438 5478 5517 8064 $103 6141 0.2 0.1 5910 5948 5947 6517 0.2 5793 .5832 5871 8443 6480 6255 6293 6331 617 6217 3772 8044 6079 0.3 6700 6736 0.5 0.4 7123 7157 7190 7224 8554 8591 .8950 6985 7019 7054 7486 7517 7549 0.B 0.5 8915 7319 7422 7454 7324 7357 .7852 0.7 0.B 7257 7291 .7764 7794 7823 .7611 .7642 7673 7704 7734 0.7 .7580 8051 3078 8106 8133 7067 7905 8023 7910 7839 8365 8380 0.9 0.8 7881 8264 8289 8315 8340 8238 1.0 09 8159 81 85 8212 8577 8621 8554 9509 8531 8413 8438 8461 8485 8508 8790 8810 8830 1.1 1.0 8686 8708 8729 8749 8770 9015 1.2 1.1 8643 8665 8025 1.3 1.2 9131 9147 9162 9115 .9049 .9065 9792 9306 9319 1,4 1.3 9032 9222 9235 9251 SIRES 9279 1.4 9192 9406 9418 9429 9441 1.5 1.5 9345 .9357 .9370 9352 9645 9332 9495 9515 9325 9535 .9474 9484 9633 1.7 9616 9624 1.6 945 946 9573 .9582 9591 9398 1.4 1.7 9564 9671 9678 1.9 1.8 9641 4649 9096 9756 9761 9767 9732 9738 9744 9750 2.0 9713 9719 .9726 1.9 9804 9412 9793 9798 9850 9857 2.1 2.0 9772 9778 9783 9838 9842 9846 9826 9830 9834 9890 2.2 2.1 9821 9881 9834 9887 9875 9878 9864 9868 9871 9911 9913 9168 2.3 2.2 9861 .9901 9904 9906 9909 7936 24 2.3 9893 9896 .9898 9025 0929 0931 ZE66 9034 9922 9927 9951 9952 2.5 24 901 8 OZ66 9049 8945 1948 9041 9043 8946 9063 9064 26 2.5 9138 2040 9060 9061 9962 9957 9059 9953 9955 9956 26 9473 1974 27 .9068 .9050 .9970 0971 9072 9067 9980 9981 28 9065 9066 27 6/68 9979 9374 9975 9976 9977 9977 29 28 9085 9086 9086 9982 30 29 9082 9083 9084 9081 9592 9093 31 30 9087 9901 9091 9902 9091 9095 32 3.1 9900 9994 9094 1093 9994 9090 3.3 9095 9095 999 9096 8686 33 9906 .9095 9947 2666 2666 4666 9997 9997 9947 1666 3.50 and 9497 109 3.50 and up 9949 08 06 02 103 01 NOTE: For values of zabove 3.49, use 0.9929 for the areaLomoence Value "Use these common values that result from interpolation: Level 0.90 1.645 7Score Area 0.95 1.96 1.6-45 0.9500 0.99 2.575 2.575 0.9950