Question

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 or n = 304 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 α = 0.05 level of significance? B Click the icon to view the table Distribution of accidents : More accidents occur earlier in the week than later Compute the expected counts for day of the week. Accidents Day of the Week Observed CountExpected Count 40 Sunday Monday Tuesday Wednesday Thursday Friday Saturday Day of the Sunday Monday Tuesday Wednesday ay Friday Saturday requency 40 29 40 46 47 61 29 40 46 47 61 PrintDone Round to two decimal places as needed.)

Answer 1

The hypothesis are

H0: P1 = P2= .............=P7 =

H1: More accidents occur earlier in the week than later.

The test statistic is

(O - E)2

O	P	E
40	0.143	43.43	0.27
41	0.143	43.43	0.14
29	0.143	43.43	4.79
40	0.143	43.43	0.27
46	0.143	43.43	0.15
47	0.143	43.43	0.29
61	0.143	43.43	7.11
Total			13.03

Hence,

df = k-1 = 7-1 = 6, =  0.05

The critical value :

Here calculated value of > critical value of .

Hence we reject null hypothesis.

Conclusion :

More accidents occur earlier in the week than later.