Question

Consider the following table.

	Favorite Subject Area
Gender	MS	SS	H	Total
Male	37 (29.28)	41 (45.95)	44 (46.77)	122
Female	35 (42.72)	72 (67.05)	71 (68.23)	178
Total	72	113	115	300

(a) Identify the value C₂.


(b) Identify the value R₁.


(c) Identify the value n.


(d) Identify the value E_2,3. (Give your answer correct to two decimal places.)

Results on seat belt usage from the 2003 Youth Risk Behavior Survey were published in a USA Snapshot on January 13, 2005. The following table outlines the results from the high school students who were surveyed in the state of Nebraska. They were asked whether or not they rarely or never wear seat belts when riding in someone else's car. Using α = .05, does this sample present sufficient evidence to reject the hypothesis that gender is independent of seat belt usage?

	Female	Male
Rarely or never use seat belt	207	311
Uses seat belt	1235	1166

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
______< p < ______

Answer 1