Question

11.1 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). Use a 0.05 sig level to test the claim that such injuries and illnesses occur with equal frequency on the different days of the week. (F).

Answer 1

The question requires conducting a goodness-of-fit test to see if occupational injuries and illnesses occur with equal frequency on different days of the week, at a 0.05 significance level.

Step-by-step explanation:

The question asks to determine if non-fatal occupational injuries and illnesses occur with equal frequency on the different days of the week using a goodness-of-fit test at a 0.05 significance level.

Conducting a goodness-of-fit test involves stating the null hypothesis that injuries and illnesses occur with equal frequency every day, calculating expected frequencies if this were true, and comparing them to the observed frequencies.

A chi-square statistic is then calculated and compared with the critical value from the chi-square distribution table at the given significance level.

If the calculated chi-square statistic is greater than the critical value, the null hypothesis is rejected, suggesting that there is a significant difference in the frequency of injuries and illnesses on different days of the week.