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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
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 n = 305 randomly selected accidents. Is there reason to believe that the accident occurs with equal frequency with respect to the day of the week at the a = 0.05 level of significance? Click the icon to view the 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? OA. Ho: P1 = P2 = ... = P7 = H,: More accidents occur earlier in the week than later. O B. Ho: P1 = P2 = ... = P7 = 7 H,: At least one proportion is different from the others. O 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. H,: P1 = P2 = ... = P7= = Compute the expected counts for day of the week. Compute the expected counts for day of the week. Day of the Week| Observed Count Expected Count Sunday 35 Monday 43 Tuesday 30 Wednesday 42 Thursday 47 Friday 49 Saturday 59 (Round to two decimal places as needed.) What is the test statistic? to = (Round to three decimal places as needed.) What is the P-value of the test? P-value = (Round to three decimal places as needed.) Based on the results, do the accidents follow a uniform distribution? O A. Reject Ho, because the calculated P-value is greater than the given a level of significance. O B. Do not reject Ho, because the calculated P-value is greater than the given a level of significance. O C. Reject Ho, because the calculated P-value is less than the given a level of significance. O D. Do not reject Ho, because the calculated P-value is less than the given a level of significance
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