A human resource manager is interested in whether absences occur during the week with

A human resource manager is interested in whether absences occur during the week with equal frequency. The manager took a random sample of 100 absences and created the following table:

Monday 28
Tuesday 20
Wednesday 12
Thursday 18
Friday 22

At a significance level of alpha = .05 test the Null that the probabilities of absences are the same for all five days.

H0: pi1– pi2 <=.01, HA: pi1– pi2 > .01 at alpha =.05 where p1=.08, p2=.035, n1 = 200, n2 = 400. Indicate which test you are performing; show the test statistic and the critical values and mention whether one-tailed or two-tailed.

Note that pi stands for the Greek letter representing population proportion

In an opinion survey, a random sample of 1000 adults from the U.S.A and 1000 adults from Germany were asked whether they supported the death penalty. 590 American adults and 560 German adults indicated that they supported the death penalty. The researcher wants to know if there is sufficient evidence to conclude that the proportion of adults who support the death penalty is higher in the U.S.A. than in Germany. What is the decision at a =.05 and 0.10.