Computer software gives you x2 417 what are the degrees of

Question

Question 1 - Comparison of conditional distributions. Consider the following 2 × 2 table:

Observed counts
Response variable	Explanatory variable		Total
	1	2
Yes	70	90	160
No	130	110	240
Total	200	200	400

(a) Compute the conditional distribution of the response variable for each of the two explanatory-variable categories.

(b) Display the distributions graphically.

(c) Write a short paragraph describing the two distributions and how they differ.

Question 2 - Expected cell counts and the chi-square test. Refer to Question 1. You decide to use the chi-square test to compare these two conditional distributions.

(a) What is the expected count for the first cell (observed count is 70)?

(b) Computer software gives you X2 = 4.17. What are the degrees of freedom for this statistic?

(c) Using Table F, give an appropriate bound on the P-value.