Support your answers with Minitab output. Show all your work.

1. The contingency table shows the status and demographics of passengers on the ill-fated Titanic. Find conditional distribution of survival status by demographic characteristic; then draw the conditional distribution bar graph of survival status by demographic characteristic.

	Men	Women	Boys	Girls
Survived	334	318	29	27
Died	1360	104	35	18

2. Consider this contingency table, which relates the number of applicants accepted to a college and gender.

	Accepted	Denied
Male	98	522
Female	90	200

a. Construct a conditional distribution of acceptance status by gender.

b. What proportion of males was accepted? What proportion of females was accepted?

c. What might you conclude about the admittance policies of the school?

A lurking variable is the type of school applied to. This particular college has two programs of study: business and social work. The following table shows the applications by type of school.

	Business School	Social Work School
	Accepted	Denied	Accepted	Denied
Male	90	510	8	12
Female	10	60	80	140

d. What proportion of males who applied to the social work school was accepted? What proportion of females who applied to the social work school was accepted?

e. Explain how the bias disappears when the type of school is considered.