Question

This Quiz: 6 pts possit Question Help 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 300 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? B Click the icon to view the table. Let 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: At least one proportion is different from the others. H:P - P2 = ... =P OB. Ho: Pa = P2 =.== H: More accidents occur earlier in the week than later. oc. Ho: P, =P2 = ...-Py=; H: More accidents occur later in the week than earlier. OD Ho: P = P2...-P77 H: At least one proportion is different from the others. Compute the expected counts for day of the week. Day of the Week Observed Count Expected Count Sunday Monday Tuesday Wednesday Thursday Friday Saturday Round to two decimal places as needed.) What is the test statistic? x = (Round to three decimal places as needed.)

Answer 1

Correct Answer: Option (D)

From the given data

	Observed		Expected
Day	Freq (Oi)	Probability	Freq Ei	(Oi-Ei)^2 /Ei
Affluent	35	0.143	42.86	1.4405
Upper	41	0.143	42.86	0.0805
Middle	30	0.143	42.86	3.8571
Lower	39	0.143	42.86	0.3471
Workign	43	0.143	42.86	0.0005
Poor	49	0.143	42.86	0.8805
Sat	63	0.143	42.86	9.4671
Total:	300		300	16.0733

Answer: Chi-square = 16.073

Critical X^2: 12.59157

P-Value: 0.0134