Question: A labor agency monitored the number of sick days taken by American workers. In 1995, 37% of workers had not taken any sick days during the previous month. In the 2000 survey, responses from 8600 workers showed that this figure had slipped to 36%. Did the number of workers not taking sick days actually decrease from 1995 to 2000?

a) Perform the test and find the P-values

b) Choose the correct conclusion. H₀ : p₂₀₀₀ = 0.37; H_A: p₂₀₀₀ < 0.37

i. With such a small P value, reject H_0. There has been a statistically significant decrease in the proportion of workers who have not taken any sick days.

ii. With such a small P value, fail to reject H0. There has been a statistically insignificant decrease in the proportion of workers who have not taken any sick days.

c) Is the difference meaningful?