Question

To determine whether accidents are more likely to occur on certain days of the week, data have been collected on all the accidents requiring medical attention that occurred over the last 12 months at an automobile plant in northern California. The data yielded a total of 250 accidents, with the number occurring on each day of the week being as follows:

Monday 68
Tuesday 47
Wednesday 41
Thursday 45
Friday 52

Use the preceding data to test, at the 5 percent level of significance, the
hypothesis that an accident is equally likely to occur on any day of the week. find the p-value

	1.	0.093
	2.	0.054
	3.	0.121
	4.	0.068
	5.	0.074

Answer 1

Solution: The null and alternative hypotheses are:

H₀: The accident is equally likely to occur on any day.

H_a: The accident is not equally likely to occur on any day.

Under the null hypothesis, the test statistic is:

Where:

is the observed frequencies

is the expected frequencies

Therefore, the test statistic is:

X² = 8.72

Now, we can find the P-value. The P-value is:

P – value = 0.068

Therefore the option 4. 0.068 is correct

Since the p-value is greater than the significance level 0.05,