7. 8. Hint(s) Check My Work 9. 10. During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to 9:00 P.M. audience proportions were recorded as ABC 29%, CBS 27%, NBC 25%, and Independents 19%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 64 homes, NBC 88 homes, and Independents 53 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. Find the test statistic and p-value. (Round your test statistic to two decimal places. Use Table 3 of Appendix B.) Test statistic = p-value is between 0.05 and 0.10 Conclusion: There is no significant change in the viewing audience proportions. Appendix B Tables TABLE 3 Chi-Square Distribution Area or probability 959 x Entries in the table give values, where a is the area or probability in the upper tail of the chi-square distribution. For example, with 10 degrees of freedom and a .01 area in the upper tail, Xoi = 23.209. Area in Upper Tail Degrees of Freedom .995 .99 .975 .95 .90 .10 .05 .025 .01 .005 12345 .000 .000 .001 .004 .016 2.706 3.841 5.024 6.635 7.879 .010 .020 .051 .103 .211 4.605 5.991 7.378 9.210 10.597 .072 .115 .216 .352 .584 6.251 7.815 9.348 11.345 12.838 .207 .297 .484 .711 1.064 7.779 9.488 11.143 13.277 14.860 .412 .554 .831 1.145 1.610 9.236 11.070 12.832 15.086 16.750 10 68890 .676 .872 1.237 1.635 2.204 10.645 12.592 7 .989 1.239 1.690 2.167 2.833 12.017 14.067 1.344 1.647 2.180 2.733 3.490 13.362 15.507 1.735 2.088 2.700 3.325 4.168 14.684 16.919 2.156 2.558 3.247 3.940 4.865 15.987 18.307 14.449 16.812 18.548 16.013 18.475 20.278 17.535 20.090 21.955 19.023 20.483 21.666 23.589 23.209 25.188 12345 1760 2222 22222 11 2.603 3.053 3.816 4.575 5.578 17.275 19.675 21.920 24.725 26.757 12 3.074 3.571 4.404 5.226 6.304 18.549 3.565 4.107 5.009 5.892 7.041 4.075 4.660 5.629 6.571 7.790 4.601 5.229 6.262 7.261 8.547 19.812 21.064 22.307 21.026 23.337 26.217 28.300 22.362 24.736 27.688 29.819 23.685 26.119 29.141 31.319 24.996 27.488 30.578 32.801 5.142 5.812 6.908 7.962 5.697 6.408 7.564 8.672 18 6.265 7.015 8.231 9.390 19 6.844 7.633 8.907 10.117 20 7.434 8.260 9.591 10.851 9.312 10.085 10.865 11.651 12.443 23.542 26.296 24.769 27.587 25.989 28.869 27.204 30.144 28.412 31.410 28.845 32.000 34.267 30.191 33.409 35.718 31.526 34.805 37.156 32.852 36.191 38.582 34.170 37.566 39.997 21 8.034 8.897 10.283 11.591 13.240 8.643 9.542 10.982 12.338 14.041 23 9.260 10.196 11.689 13.091 14.848 24 9.886 10.856 12.401 13.848 15.659 29.615 32.671 30.813 33.924 32.007 35.172 33.196 36.415 35.479 38.932 41.401 36.781 40.289 42.796 38.076 41.638 44.181 39.364 42.980 45.558 25 26 27 28 12.461 29 13.121 10.520 11.524 13.120 14.611 16.473 34.382 11.160 12.198 13.844 15.379 17.292 35.563 11.808 12.878 14.573 16.151 18.114 13.565 15.308 16.928 14.256 16.047 37.652 38.885 36.741 40.113 40.646 44.314 46.928 41.923 45.642 48.290 43.195 46.963 49.645 18.939 37.916 41.337 44.461 48.278 50.994 17.708 19.768 39.087 42.557 45.722 49.588 52.335 960 Appendix B Tables TABLE 3 Chi-Square Distribution (Continued) Area in Upper Tail Degrees of Freedom .995 .99 .975 .95 .90 .10 .05 .025 .01 .005 35 SERE 30 13.787 14.953 17.192 18.509 40 20.707 16.791 18.493 20.569 22.164 24.433 20.599 22.465 24.797 40.256 43.773 46.979 50.892 53.672 46.059 49.802 53.203 57.342 60.275 26.509 29.051 51.805 55.758 59.342 63.691 66.766 45 24.311 25.901 28.366 30.612 33.350 57.505 61.656 65.410 69.957 73.166 50 27.991 29.707 32.357 34.764 37.689 63.167 67.505 71.420 76.154 79.490 55 31.735 60 35.534 33.571 36.398 37.485 40.482 38.958 42.060 68.796 73.311 77.380 82.292 85.749 43.188 46.459 74.397 79.082 83.298 88.379 91.952 65 39.383 41.444 44.603 47.450 50.883 79.973 84.821 89.177 94.422 98.105 70 43.275 45.442 48.758 51.739 55.329 85.527 90.531 95.023 100.425 104.215 75 47.206 49.475 52.942 56.054 59.795 91.061 96.217 100.839 106.393 110.285 80 51.172 53.540 85 90 95 100 57.153 55.170 57.634 61.389 64.749 68.777 59.196 61.754 65.647 69.126 73.291 63.250 65.898 69.925 73.520 77.818 67.328 70.065 74.222 77.929 82.358 60.391 64.278 96.578 101.879 102.079 107.522 107.565 113.145 113.038 118.752 118.498 124.342 106.629 112.329 116.321 112.393 118.136 123.858 129.561 135.807 118.236 122.324 124.116 128.299 129.973 134.247 140.170