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# Chi-square test for goodness of fit

Randomly selected non-fatal occupational injuries and illnesses are categorized according to the day of the week that they first occurred, and the results are listed below (based on data from the Bureau of Labor Statistics).

Using a 0.05 level of significance (? = 0.05), test the claim that such injuries and illnesses occur with equal frequency on the different days of the week.

Day Monday Tuesday Wednesday Thursday Friday
Number 23 23 21 21 19

1a) Write the null hypothesis (Ho) for this test:

#1b) Write the alternative hypothesis (Ha) for this test:

#2) Compute the degrees of freedom associated with this test:

2a) Find the critical value:

#3a) Write the rule of rejection (decision rule) using the test statistic and critical value

#3b) Write the rule of rejection (decision rule) using the p-value and alpha

#4a) Compute the Test Statistic (Ï?2):

Was the above computed by-hand, Minitab, or other (if other, please specify)?

#4b) Compute the associated p-value:

#5) What if your statistical result (i.e., are you rejection or not rejecting the null hypothesis)?

#6) Based on your results from Question #5, do non-fatal occupational injuries and illnesses occur with equal frequency throughout the week

#### Solution Summary

The solution provides step by step method for the calculation of chi square test of goodness of fit. Formula for the calculation and Interpretations of the results are also included.

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