12.2 -6

Print 6. A survey of 36 randomly selected students who dropped a course was conducted at a college. (a) Construct a contingency table for the two variables. The following results were collected. Complete parts (a) through (c). Course Personal Work Male Full data set M Personal F Personal F Personal Female M Course M Work Course Work M Work Personal (b) Test whether gender is independent of drop reason at the a = 0.1 level of significance. M Personal F Course F Course F Course F Personal What are the hypotheses? M Personal F Personal Course M Course F Work Course O A. Ho: Gender and drop reason are independent. M Course F Personal Work H1: Gender and drop reason are dependent. F Personal F Course M Work M Work M Course M Course O B. Ho: PC = Pp = PW F Work M Work F Personal Hy : At least one of the proportions is different from the others. M Personal F Course M Work Click the icon to view the Chi-Square table of critical values. O C. Ho: Oc = Ec and Op = Ep and Ow = Ew H1: 0c # Ec or Op # Ep or Ow # Ew Compute the value of the chi-square test statistic. 1 2 : (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 gender and drop reason are dependent. B. Fail to reject Ho. There is not sufficient evidence that gender and drop reason are dependent. O C. Fail to reject Ho. There is sufficient evidence that gender and drop reason are dependent. O D. Reject Ho. There is not sufficient evidence that gender and drop reason are dependent. (c) Construct a conditional distribution of drop reason by gender. Fill in the table below. Course Personal Work Male Female (Round to three decimal places as needed.) Choose the correct bar graph below O A. p W C Male Female B. 17 W C P CPW Male Female O C. CP w CPW Male Female OD. PW Male Female 1: Chi-Square Table Chi-Square (x2) Distribution Area to the Right of Critical Value Degrees of Freedom 0.995 0.90 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 6.635 7.87 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 0.207 0.297 0.484 1.064 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 1.287 1.635 2.204 10.645 12.592 14.449 16.812 18.548 0.989 1.239 1.690 2.16 2.833 12.017 4.067 6.013 18.475 20.278 2.180 3.490 13.362 15.507 21.955 1.344 1.646 2.733 17.535 20.090 23.589 1.735 2.088 2.700 4.168 14.684 16.919 19.023 21.666 2.156 2.558 3.247 3.940 4.865 15.987 8.307 20.483 23.209 25.188 2.603 3.053 3.816 4.575 5.578 17.275 19.675 21.920 24.725 26.757 3.074 3.571 4.404 5.226 6.304 18.54 21.026 23.337 26.217 28.300 3.565 4.107 S.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 $1.319 4.601 5.229 6.262 7.261 8.547 22.30 24.996 27.488 30.57 32.801 5.142 5.812 6.908 7.962 9.312 23.542 26.296 28.845 32.000 34.267 5.697 6.408 7.564 8.672 10.085 24.769 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 7.633 8.907 11.651 32.852 38.582 6.844 10.117 27.204 30.144 36.191 7.434 8.260 9.591 10.851 12.44 28.41 31.410 34.170 37.560 39.997 3.034 8.897 10.283 11.591 13.240 29.615 32.671 5.479 38.932 41.401 8.643 9.542 10.982 12.338 14.041 30.813 33.924 36.781 40.289 42.796 9.260 10.196 11.689 13.091 35.172 38.076 44.181 9.886 10.85 12.401 13.848 15.659 33.19 36.415 39.36 42.980 45.559 10.52 11.524 13.120 14.611 16.473 34.382 37.652 40.646 44.314 46.928 11.160 12.198 13.844 15.37 17.292 35.563 38.885 41.923 45.642 48.290 11.808 12.879 14.573 16.151 18.114 36.741 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 14.256 16.047 17.70 19.768 39.08 42.557 45.722 49.588 52.33 13.787 14.953 16.791 18.49 20.599 40.256 43.773 46.979 50.892 53.672 20.70 22.164 24.433 26.509 29.05 51.805 55.758 59.342 63.691 66.766 50 27.99 29.707 32.357 34.764 37.689 63.167 67.505 71.420 76.154 79.49 60 35.534 37.485 40.482 43.18 46.459 74.397 79.082 83.298 88.379 91.952 70 43.275 45.442 48.758 51.739 55.329 85.52 90.531 95.023 100.425 104.215 80 51.172 53.540 $7.153 60.391 64.278 96.578 101.879 106.629 1 12.329 116.321 90 59.196 61.754 65.647 69.126 73.291 107.565 113.145 118.136 124.116 128.299 100 67.328 70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807 140.169 (1) O greater than . 10. between .01 and .025. O between .05 and . 10. O less than .01. O between .025 and .05