10. A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the week. The data show the day of the week for Prin randomly selected accidents. Is there reason to believe that the accidents occur with equal frequency with respect to the day of the week at the a = 0.05 le of significance? 10 Click the icon to view the table. 11 Click here to view the Chi-Square distribution table. Let p; = the proportion of accidents on day i, where i = 1 for Sunday, i = 2 for Monday, etc. What are the null and alternative hypotheses? O A. Ho : P 1 = P2 = ... = P7 = 7 Hy: More accidents occur earlier in the week than later. B. Ho: P1 = P2 = ... = P7 = = H1: At least one proportion is different from the others. *C. Ho: P1 = P2 = ... = P7 = H,: More accidents occur later in the week than earlier. O D. Ho: At least one proportion is different from the others. H1 : P1 = P2 = ... = P7 = 7 Compute the expected counts for each day of the week. Day of the Week | Observed Count Expected Count Sunday 41 Monday 38 Tuesday 28 Wednesday 38 Thursday 40 Friday 51 Saturday 61 (Round to three decimal places as needed.) What is the test statistic? XO = (Round to three decimal places as needed.) What range of P-values does xo correspond to? The P-value is (1) Based on the results, do the accidents follow a uniform distribution? O A. Reject Ho, because the calculated P-value is less than the given level of significance. O B. Do not reject Ho, because the calculated P-value is less than the given level of significance. O C. Do not reject Ho, because the calculated P-value is greater than the given level of significance. O D. Reject Ho, because the calculated P-value is greater than the given level of significance 10: Distribution of accidents Day of the Sunday Monday Tuesday Wednesday Thursday Friday Saturday Week Frequency 41 38 28 38 40 51 61 11: Chi-Square distribution Chi-Square (x7) 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 3.010 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 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 0.831 145 1.610 9.236 11.070 12.833 15.086 16.750 0.676 0.872 1.237 1.635 2.204 10.645 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 13.36 15.50 17.535 20.090 21.955 1.735 23.589 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 2.156 2.558 3.247 3.940 4 865 15.987 18 307 20.483 23.209 25.188 2.603 3.053 3.816 4.575 5.578 17.27 19.675 21.920 24.725 26.75 3.074 3.571 4.404 5.226 6.304 18.549 21926 23.337 26.217 28.300 3.56 4.107 5.009 5.892 7.042 19.812 22.36 27.688 29.819 4.075 4.660 5.629 6.571 7.790 21.06 23.685 26.119 29.14 31.319 4.601 5.229 6.262 7.261 3.547 22 307 24.996 27.488 30.578 32.801 5.142 5.812 6.908 7.962 9.312 23.54 26.29 28.845 32.000 34.267 5.697 7.564 8.672 10.085 24.769 27.587 30.191 33.409 35.718 6.408 6.265 7.015 8.231 9.390 10 865 25.98 28.86 31.526 34.805 37.156 6.844 7.633 8.907 10.117 11.651 27.204 30.14 32.852 36.19 38.582 7434 8.260 9.591 10.851 12.443 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 8.932 41.401 8.64 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 14.848 32.007 35.172 38.076 41.638 44.181 9.88 10.856 12.401 13.848 15.659 33.196 36.41 39.364 12.980 45.559 10.520 11.524 13.120 14.611 16.473 34.382 37.652 40.646 44.314 46.928 1.160 12.198 13.844 15.379 17.292 35.563 38.88 41.923 45.642 48.290 1.808 12.879 14.573 6.151 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 13.12 14.256 16.047 17.708 19.768 39.087 42 557 45.722 49.588 52.336 13.787 14.953 16.791 18.493 20.599 40.256 43.77 46.979 50.892 53.672 20.707 22.164 24.433 26.509 29.051 $1.805 $5.75 59.34 53.69 66.766 27.991 29,707 32.357 34.764 37.689 63.167 67.505 71.420 76.154 79.490 35.534 37.485 40.48 43.188 46.45 74.397 79.08 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 60.391 64.278 96.578 101.879 106.629 112.329 116.321 59.196 61.754 65.647 69.126 73.291 107.565 113.145 118.136 124.116 128.299 67.328 70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807 140.169 Degrees of 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 Freedom Left tail Right tail Area = 1- Two tails The area to the - The area to the - The area to the right right of this right of this of this value is it. value is 1-a. 2 value is er. The area to the right of this value is 1- (1) O between 0.025 and 0.05. O greater than 0. 10. O less than 0.01