Statistics HOMEWORK 9.1

0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.024 0.023 0.6359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0204 Print 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.5 0.0668 D.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 ).0559 -1.4 0.0808 0.0703 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -13 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -12 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -10 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.166 0.1635 0.1611 -08 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.192 0.1894 0.1867 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.5 0.308 0.3050 0.3015 0.2981 0.2946 0.2012 0.2877 0.2843 0.2810 0.2776 0.3446 0.3409 0.337 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -03 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 9: Standard Normal Distribution Table (page 2) A Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.04 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.539 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 04 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.773 0.7764 0.7794 0.7823 0.8 0.7881 0.7910 0.7939 0.796 0.7905 0.802 0.8051 0.8078 0.8106 0.8133 0.8159 0.8186 0.8212 0.8238 0.8264 .8289 0.8315 0.8340 0.8365 0.8389 1.0 0.8413 0.843 0.8461 0.8485 1.8508 0.853 2.8554 0.8577 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8720 0.874 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.890 0.8925 ).8944 0.8962 0.8980 0.8997 0.90 15 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.0292 0.9306 0.9319 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.946 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9713 0.9719 0.9726 0.9732 0.9738 0.974 0.0750 0.9756 0.9761 0.9767 2.0 0.9772 0.977 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 22 0.986 0.9864 0.9868 0.9871 0.9875 0.9878 0.0881 0 0884 0.9887 0.9890 23 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.4 0.9918 0.9920 0.9022 0.9025 0.9927 0.9929 0.9931 10932 0.9934 0.9936 25 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 27 0.9965 0.9966 0.9067 0.9068 0.9969 0.9970 0.9971 0.0972 0.9973 0.9974 2.8 0.9974 0.997 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.998 2.9 0.9981 0.9982 0.9082 0.0083 0.9984 0.0084 0.9985 0.9985 0.9986 0.9986 3.0 0.998 0.9987 0.9987 0.9988 0.9988 0.9989 3.9989 0.9989 0.9090 0.9990 3.1 0.9990 0.9991 0.9091 0.990 0.9992 0.9092 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9094 0.9094 0.9994 0.9994 0.9994 0.090 0.9995 3.3 0.9095 0.9995 0.9995 ).9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9097 0.9097 0.9997 0.9997 0.9997 0.990 0.9997 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 13. A group conducted a poll of 2023 likely voters just prior to an election. The results of the survey indicated that candidate A would receive 45% of the popular vote and candidate B would receive 44% of the popular vote. The margin of error was reported to be 3%. The group reported that the race was too close to call. Use th concept of a confidence interval to explain what this means. What does it mean to say the race was too close to call? A. Since the difference between the percentages of the popular vote for the candidates is less than the 11% of voters that are undecided, the poll cannot predict the winner. B. The margin of error suggests candidate A may receive between 42% and 48% of the popular vote and candidate B may receive between 41% and 47% of the popular vote. Because the poll estimates overlap when accounting for margin of error, the poll cannot predict the winner. O C. Since the poll results do not show that one of the candidates has more than 50% of the popular vote, the poll cannot predict the winner. D. Since the estimated proportions depend on the level of confidence, the candidate predicted to receive the greater percentage of the popular vote changes for different levels of confidence, so the poll cannot predict the winner. 14. Explain what "98% confidence" means in a 98% confidence interval. What does "98% confidence" mean in a 98% confidence interval? A. If 100 different confidence intervals are constructed, each based on a different sample of size n from the same population, then we expect 98 of the intervals to include the parameter and 2 to not include the parameter. O B. The confidence interval includes 98% of all possible values for the parameter. O C. The probability that the value of the parameter lies between the lower and upper bounds of the interval is 98%. The probability that it does not is 2%. O D. The value of the parameter lies within 98% of a standard deviation of the estimate. 15. Suppose a polling agency reported that 45.6% of registered voters were in favor of raising income taxes to pay down the national debt. The agency states that results are based on telephone interviews with a random sample of 1035 registered voters. Suppose the agency states the margin of error for 95% confidence is 3.0%. Determine and interpret the confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national deb that the proportion of (2) in favor of raising income taxes to pay down the national debt is between and Type integers or decimals rounded to three decimal places as needed. Use ascending order.) ) O We are 95% confident We are 45.6% confident (2) O all Americans O There is a 45.6% probability O There is a 95% probability adult Americans aged 18 or older O We are 1035% confident O We are 3.0% confident registered voters There is a 3.0% probability O There is a 1035% probability