The operations manager at Electro Tech, an electronics manufacturing company, believes that workers on particular shifts may be more likely to phone in "sick" than those on other shifts. To test this belief, she has compiled the following table containing frequencies based on work shift and days absent over the past year.

a. Specify the competing hypotheses to determine whether days absent depends on work shift.
b. Calculate the value of the test statistic.
c. Use Excel's CHISQ.DIST.RT function to calculate the p-value.
d. What is your conclusion at the 5% significance level? What about the 1% significance level?
Is the conclusion sensitive to the choice of significance level?

0-2 days absent 3-6 days absent 7-10 days absent 11 or more days absent First Second Third Shift Shift Shift 20 25 9 10 12 13 5 14 4