MAT220_35_Statistics l_2021_22_TERM4 Homework: UNIT 6 - Section 9.1 Homework Construct a 95% confidence interval of the population proportion using the given information. x = 120, n = 300 5 Click here to view the table of critical values. The \"warm\" 5 - Table of critical values The upper bound is _ (Round to three decimal places as needed.) In a poll, 69% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 3%, and the estimate was made with 96% confidence. At least how many people were surveyed? Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2). - X - X Standard normal distribution table (page 1) Standard normal distribution table (page 2) The minimum number of surveyed people was . (Round up to the nearest integer.) Area Standard Normal Distribution Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0,00 0.01 0.0 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0803 0.0003 0.0 0.500 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.5398 0-2458 05257 0.5636 0.5675 0.5714 0.5753 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.2 05317 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 .6103 0.6141 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.4 0.6554 0.6591 0.6628 0.6700 0.6736 0.6772 0.6844 0.6879 -29 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.5 0.6915 0.6050 0.608 0.7019 0.7054 0.7088 0.7123 0.7157 0,7190 0.722 -28 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0621 0.0020 0.0019 0.6 0.7257 0.7291 0.7324 0.7389 0,742 0.745 0.7486 0.7517 0.754 -2.7 0.0035 0.0034 0.003 0.0032 0.0031 0.0030 0.0029 0.0028 0.002 0.0026 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.773 0.7764 0.7794 0.7823 0.7852 -2.6 0.0047 0.0045 0.004 0.0043 0.0041 0.004 0.0039 0.0038 0.0037 0.0036 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0048 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 -24 0.0082 0.0080 0.007 0.0075 0.0073 0.007 0.006 0.0068 0.0066 0.0064 1.0 0.8413 0.8438 0.846 0.848 0.850 0.853 0.855 0.8577 0.850 0.862 -2.3 0.0107 ).0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 1.1 0.8643 0.8665 0.868 0.8708 0.8729 0.874 0.877 0.8790 0.8810 0.883 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.8849 0.8869 0.888 0.9607 0.8925 0.8944 0.896 0.8980 0.90 15 -2.1 0.0174 0.0170 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 0.9032 0.9049 0.906 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 0.9192 0.9207 0.922 0.9236 0.9251 0.926 0.9219 0.9292 0.9306 0.9319 -1.9 0.0287 0.028 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 -1.8 0.0359 0.035 0.034 0.0336 0.0329 0.032 0.0314 0.0307 0.030 0.0294 0.9452 0.946 0.947 0.0484 0.9495 0.950 0.9515 0.9525 0.9535 0.954 -1.7 0.0446 0.0436 0.0427 0.0409 0.0392 0.038 0.0367 0.9554 0.9564 0.957 0.958 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.060 0.0594 0.0582 0.0571 0.0559 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 -14 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.9772 0.9778 0.9783 0.9785 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 0.0968 0.095 0.0934 0.0918 0.0901 0.088 0.0869 0.0853 0.0838 0.0823 0.9821 0.9826 0.983 0.9834 0.9838 0.9842 3.984 0.9850 0.9854 0.985 -1.2 0.1151 0.113 0.111 0.1093 0.107 0.105 0.1038 0.1020 0.1003 0.0985 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.989 -1.1 0.1357 0.1335 0.1314 0.1292 0.127 0.125 0.1230 0.1210 0.1190 0.1170 2.3 0.9893 0.9896 0.9904 0.9906 0.9909 0.9911 0.9916 -1.0 0.1587 0.1562 0.1539 .1515 0.1492 0.146 0.1446 0.1423 0.1401 0.1379 2.4 0.9918 0.9920 0.992 0.992 0.9927 0.9929 0.9931 0.9932 0 3 0.9934 0.993 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 2.5 0.9938 0.9040 0.994 0.9843 0.9045 0.994 0.9049 0.21 19 0.2090 0.206 0.2033 0.2005 0.197 0.1949 0.1022 0.189 0.1867 0.9953 0.9955 0.995 0.9957 0.9959 0.9960 0.9962 0.9963 0.9952 0.9961 0.996 0.2420 0.2389 0.235 0.2327 0.2296 0.226 0.2236 0.220 0.217 0.2148 0.9965 0.9966 0.906 0.9968 0.9969 0.9970 0.997 0.9972 0.9973 0.997 -0.6 0.2743 0.2709 0.2676 0.2611 0.257 02246 0.2514 0.2483 0.2451 0.9074 0.9075 0.9976 0.907 0.9977 0.9978 0.997 0.9979 0.9980 0.998 -05 0.308 0.3050 0.301 .2981 0.2946 D.291 0.2877 0.2843 0.2810 0.2776 0.9981 0.9082 0.9982 0.098 0.9984 0.9984 0.998 0.9985 09086 0.998 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 0.9987 0.9987 0.9987 0.098 0.9988 0.9989 0.998 0.998 0.9990 0.9990 -03 0.3821 0.3783 0.3745 0.7069 0.3632 0.3594 0.3557 0.3520 0.3483 0.9990 0.9091 0.9991 0.0901 0.9992 0.9992 0.9993 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.389 0.3859 0.9993 0.9993 0.999 0.999 0.9892 0.9994 0.999 0.999 0.999 0.9995 0.999 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.440 0.436 0.4325 0.4286 0.4247 0.9095 0.9095 0.909 0.909 0.9996 0.909 0.909 0.9996 0.9996 0.999 0.5000 0.4960 D.492 0.4840 0.480 0.4761 0.4721 0.468 0.4041 0.9997 9.9997 0.999 0.9097 ).9997 0.9997 0.9097 1.9997 0.9997 0.999 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09A simple random sample of size n is drawn. The sample mean, x, is found to be 19.2, and the sample standard deviation, s, is found to be 4.6. Click the icon to view the table of areas under the t-distribution. Table of t-distribution areas (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: : Upper bound: (Use ascending order. Round to two decimal places as needed.) -Area in right tail Table VI t-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.215 12.924 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.74 4.604 5.598 7.173 8.610 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.02 4.437 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 3.930 4.318 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.58 2.92 3.252 3.686 4.015 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.610 3.922 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 20 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 0.686 0.859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819 0.686 0.858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792 0.685 0.858 1.060 1.319 1.714 2.069 2.17 2.500 2.807 3.104 3.48 3.768 0.685 0.857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 25 0.684 0.856 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 2.77 3.057 3.421 3.690 0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 0.683 0.854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence assuming s = 12.5 based on earlier studies? Suppose the doctor would be content with 95% confidence. How does the decrease in confidence affect the sample size required? Click the icon to view a partial table of critical values. A 99% confidence level requires subjects. (Round up to the nearest subject.) - X Partial critical value table Level of Confidence, a Critical Value, Zo /2 (1 -() . 100% Area in Each Tail, , 90% 0.05 1.645 95% 0.025 1.96 99% 0.005 2.575 Print Done