12.2

6. A survey of 36 randomly selected students who dropped a course was (a) Construct a contingency table for the two variables. Print conducted at a college. The following results were collected. Complete parts (a) Course Personal Work through (c). Male 6 Full data set Female Work M Course Work Work M Personal F Personal (b) Test whether gender is independent of drop reason at the a = 0.1 level of Work M Work M Personal significance M Personal F Course F Course Work M Personal M Work What are the hypotheses? M Personal F Personal M Course M Course F Work M Course F Work M Course F O A. Ho: Pc = Pp = PW Personal F Personal F Course M Work H1: At least one of the proportions is different from the others. M Course F Personal M Personal O B. Ho: Oc = Ec and Op = Ep and Ow = Ew F Work M Work Personal M Personal F Work M Personal H1: Oc # Ec or Op # Ep or Ow * Ew Click the icon to view the Chi-Square table of critical values. O C. Ho: Gender and drop reason are independent. H1: Gender and drop reason are dependent. Compute the value of the chi-square test statistic. x3 = 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. Fail to reject Ho. There is not sufficient evidence that gender and drop reason are dependent. B. Reject Ho. There is 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. CP w CP Male Female O B. C PW P W C Male Female O c. 17 W C PW Male Female OD. 17 PW PW C Male Female 3: Chi-Square Table Chi-Square (x2) Distribution Area to the Right of Critical Value Degrees of Freedom 0.995 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 6.635 7.879 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 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 12.83 15.086 16.750 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589 2.156 2.558 3.247 3.940 4.865 15.98 18.307 20.48. 23.209 25.188 11 2.603 3.053 3.816 4.575 5.578 17.275 19.675 21.920 24.725 26.757 12 3.074 3.57 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 7.261 8.547 22.307 24.996 27.488 30.578 32.801 ;.142 5.812 6.908 7.962 9.312 23.542 26.296 18.845 32.000 34.267 5.69 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 6.844 7.633 8.907 10.117 11.651 27.204 30.144 32.852 36.191 38.582 7.434 8.260 9.591 10.851 12.44 28.412 31.410 34.170 37.566 39.997 8.034 8.897 10.283 11.591 13.240 29.615 32.671 35.479 38.932 41.401 8.643 9542 10.982 12.338 14.041 30.813 33.924 36.781 40.289 42.796 9.260 10.196 11.689 13.091 14.848 32.007 35.172 38.076 41.638 44.181