12.2

5. The following data represent the level of health and the level Education Excellent Good Fair Poor of education for a random sample of 1613 residents. Not a H.S. graduate 98 151 63 131 Complete parts (a) and (b) below. H.S. graduate 122 132 51 116 Some college 106 117 68 92 76 138 55 97 Bachelor Degree or higher Click the icon to view the Chi-Square table of critical values. (a) Does the sample evidence suggest that level of education and health are independent at the a = 0.05 level of significance? Conduct a P-value hypothesis test. State the hypotheses. Choose the correct answer below. O A. Ho: Level of education and health are independent. Hy: Level of education and health are dependent. O B. Ho: H1 = E, and H2 = E2 and #3 = E3 and H4 = E4 H, : At least one mean is different from what is expected. O C. Ho: P1 = P2 = P3 H1: At least one of the proportions are not equal. Calculate the test statistic XO = (Round to three decimal places as needed.) What range of P-values does the test statistic correspond to? The P-value is (1) - Make the proper conclusion. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence that level of education and health are associated. O B. Fail to reject Ho. There is sufficient evidence that level of education and health are associated. O C. Fail to reject Ho. There is not sufficient evidence that level of education and health are associated. O D. Reject Ho. There is not sufficient evidence that level of education and health are associated. (b) Construct a conditional distribution of health by level of education and draw a bar graph. Excellent Good Fair Poor Education Not a H.S. graduate H.S. graduate Some college Bachelor Degree or higher Round to three decimal places as needed.) Choose the correct bar graph below. O A. 0.5- EGER FER FOFP EOFP Not HS Grad HS Grad Some College Bachelor OB. 0.57 EGEP EGEP Not HS Grad HS Grad Some College Bachelor 1: Chi-Square Table Chi-Square (x2) Distribution Area to the Right of Critical Value Degrees of Freedom .995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 0.001 0.004 0.016 2.706 3.841 5.024 7.879 0.051 0.103 4.605 5.991 7.378 10.597 0.010 0.020 0.216 0.352 0.584 6.251 7.815 12.838 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 0.412 0.554 0.831 1.145 1.610 9.236 11.070 12.833 15.086 16.750 0.676 0.872 1.237 1.635 2.204 10.645 2.592 4.449 6.812 18.548 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 1-244 1.046 2.180 2.733 3.490 13.362 20.890 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.66 23.589 2.15 2.558 3.247 3.940 4.865 15.98 18.307 20.483 23.209 25.188 26.757 2.603 3.053 3.816 4.575 5.578 17.275 9.675 21.920 24.725 3.074 3.571 4.404 5.226 6.304 18.549 21.026 23.337 26.217 28.300 3.565 4.107 5.009 5.892 7.042 19.812 22.362 24.736 27.688 29.819 4.075 4.660 5.629 6.571 7.790 21.064 23.685 26.119 29.141 31.319 4.601 5.229 6.262 1-261 8 547 22.307 24.996 27.48 30.578 32.801 5.142 5.812 6.908 7.962 9.312 3.542 26.296 28.845 32.000 $4.267 5.697 6.40 7.564 8.672 10.085 27.587 30.191 33.409 35.718 6.265 7.015 8.231 9.390 10.865 25 989 28.869 31.526 34.805 37.156 6.844 7.633 10.11 11.651 27.204 30.144 32.852 36.191 38.582 7.434 8.260 9,591 10.851 12.443 28.412 31.410 37.566 19.997 8.034 8.897 10.28 11.59 13.240 19.615 32.671 35.479 38.932 41.401 8.643 9.542 10.98 12.33 14.041 30.813 33.924 36.781 40.289 42.796 9.260 10.196 11.689 13.09 14.848 32.007 35.172 38.076 41.638 44.181 9.886 10.856 12.401 13.848 15.659 33.196 36.415 39.364 42.980 10.520 11.524 13.120 14.611 16.473 34.382 37.652 40.646 44.314 46.928 11.160 12.198 13.844 15.379 12 02 35.563 38.885 41.923 45.642 48.290 11.808 12.879 14.573 16.15 18.114 6.741 40.113 43.195 46.963 49.645 12.461 13.565 15.308 16.928 18.939 37.916 41.337 44.461 48.278 50.993 13.121 16.047 17.708 19.768 42.557 49.588 52.336 13.787 14.953 16.791 18.49 20.599 40.256 43.773 46.979 50.892 53.672 20.707 22.164 24.433 26.509 29.05 $1.805 55.758 59.342 63.691 56. 766 27.991 29.707 32.357 34.764 37.689 63.16 67.505 71.42 76.154 79.490 35.534 37.485 40.482 43.18 46.459 74.397 79.082 83.298 88.379 91.952 43.275 45.442 48,758 51.739 55.329 85.527 90.531 95.023 100.425 104.215 51.172 53.540 57.153 60.39 64.278 96.578 101.879 106.629 112.329 116.321 59.196 61.754 65.647 69.12 73.291 107.565 113.145 118.136 124.116 28.299 67.328 70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807 140.169 (1) O between .05 and . 10. O less than .01. O between .01 and .025. O greater than . 10. O between .025 and .05