Randomly selected nonfatal occupational injuries and illness

Randomly selected nonfatal occupational injuries and illnesses are categorized according to the day of the week that they first occurred, and the results are listed below. Use a 0.05 significance level to test the claim that such injuries and illnesses occur with equal frequency on the different days of the week. Show all work and justify your answer.
Day
Mon
Tue
Wed
Thu
Fri
Number
22
22
20
19
17
(a) Identify the null hypothesis and the alternative hypothesis.
(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
(c) Determine the p-value. Show all work; writing the correct critical value, without supporting work, will receive no credit.
(d) Is there sufficient evidence to support the claim that such injuries and illnesses occur with equal frequency on the different days of the week? Justify your answer

Solution

(a) Null hypothesis:such injuries and illnesses occur with equal frequency on the different days of the week

Alternative hypothesis: such injuries and illnesses occur with unequal frequency on the different days of the week

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(b)