Question

• Question 28

Problem Set 3: Two-Cell and Four-Cell Chi-Square

Use the following information to answer questions 28-31:

A political reporter working for your local newspaper asks you, as a statistical expert, to help her understand the mood of the American public toward the U.S. Congress. You gather data from a recent National Election Study that measures people's feelings toward Congress, and classify those attitudes by their party identification. The reporter asks you, "Are negative feelings toward Congress really that significantly different in the American public?" You analyze your data in order to answer this question and find the following result:

Survey question: "Do you have negative feelings toward Congress?"

	Negative Feelings Toward Congress
	Yes	No
Responses	405	495
N = 900

Calculate a Two-Cell Chi-Square test for this table.

• Question 29

	Do you accept or reject the null hypothesis? Use the correct evidence in your answer.

• Question 30

The persistent reporter asks another question: "Perhaps wealthy people feel differently about Congress. Can you help me to test that hypothesis?" Yes you can! You analyze the data and construct the following table:

	Income
Feelings Towards Congress	Below $60,000	$60,000 and higher	Row Total
Positive	185	215	400
Negative	235	205	440
Column Total	420	420	840

(Note: some respondents refused to reveal their income, resulting in missing cases.)

Calculate a Four-Cell Chi-Square test for this table.

• Question 31

	Do you accept or reject the null hypothesis? Use the correct evidence in your answer.

Answer 1

Question is answered below.