1. What does the chi-squared test of independence really test?

2. When working with a two-way table, describe how you find the expected counts for each cell in the table.

3 A survey was conducted of 200 people and their responses were categorized by party affiliation and opinion on gun control. The results are shown in this table:

Observed Favor Oppose Unsure Total

Democrat 44 48 18 110

Republican 32 48 10 90

Total 76 96 28 200

a. Fill in the table below with the expected counts.

Expected Favor Oppose Unsure Total

Democrat 110

Republican 90

Total 76 96 28 200

b. Based on this sample, does a person's opinion on gun control depend on party affiliation, at the .05 level of significance?

4. There are four major blood types in humans: O, A, B, and AB. In a study conducted using blood specimens from the Blood Bank of Hawaii, individuals were classified according to blood type and ethnic group. The ethnic groups were Hawaiian, Hawaiian-white, Hawaiian-Chinese, and white. Assume that the blood bank specimens are random samples from the Hawaiian populations of these ethnic groups.

Ethnic Group --

Blood Type Hawaiian Hawaiian White Hawaiian Chinese White

O 1,903 4,469 2,206 53,759 /div>

A 2,490 4,671 2,368 50,008

B 178 606 568 16,252

AB 99 236 243 5,001

a. Fill in the table below with the expected counts.

Ethnic Group --

Blood Type Hawaiian Hawaiian White Hawaiian Chinese White

O

A

B

AB

b. Is there evidence to conclude that blood type and ethnic group are related? Perform a complete test.