Crosstabs, Means Tests, and Correlation Exercises: alpha = .05 on all tests

For each question:

• Identify which analysis you are performing: Use the bivariate chart: Identify how many variables you have, which is independent and dependent, and how they are measured.
• Write your hypotheses conceptually and mathematically.
• Conduct your test. Determine whether to accept or reject your null hypothesis.
• Interpret your findings.

1. Is there a relationship between the number of police officers on staff and the type of crimes that are most frequent?

	1998, 5 officers	1999, 8 officers
Property Crime Arrests	325	375
Violent Crime Arrests	120	119

2. Is there a relationship between race and attitude about whether whites were hurt by affirmative action? Be sure to use the statistics that are provided in the information below.

Number of Whites = 2238

Number of Blacks = 432

% White who think it is very likely or somewhat likely that whites were hurt by affirmative action: 75.8%
% Black who think it is very likely or somewhat likely that whites were hurt by affirmative action: 50.4%

p = .000, chi-square = 37.31

3. I think being a feminist or not influences whether people think homosexuals should be able to teach in public schools. Use the data below, from the GSS96, to test my hypothesis.  

	Identify as a Feminist
Allow Homosexuals to Teach?	Yes	No	Totals
Yes	156	508	664
No	33	172	205
Totals	189	680	869

Chi-square = 5.04, p = .025

4. I think being a feminist or not influences whether people think racists should be able to teach in public schools. Use the data below, from the GSS96, to test my hypothesis.

	Identify as a Feminist
Allow Racists to Teach?	Yes	No	Totals
Yes	104	306	410
No	82	363	445
Totals	186	669	855

Chi-square = 6.04, p = .014

5. I think that people with a college degree tend to have fewer children than people without a college degree. Use the data below, from the GSS96, to test my hypothesis.

People with a college degree: n = 694, mean # of children = 1.41, s = 1.5

People without a college degree: n = 2188, mean # of children = 1.97, s = 1.71

6. I think people who hold progressive beliefs and values concerning gender differ in their amount of happiness (on a scale that ranges from 0-7) from other Americans. Use the data below, from the GSS96, to test my hypothesis. Be sure to use the statistics that are provided in the information below.

People who hold progressive gender beliefs and values: n = 672, mean happiness = 5.13, s = 2.11

Mean happiness score of all Americans: 5.27

t calc = -1.69, p = .09 (two tailed)

7. I think that romantic partners often have different levels of satisfaction with their relationship. I collect a sample of 9 romantic partners and ask each partner how satisfied they are with their relationship (on a scale of 0-10). Use the data below to test my hypothesis.

Partner 1 Satisfaction	Partner 2 Satisfaction	Difference
8	5	3
7	2	5
8	8	0
7	7	0
10	9	1
5	4	1
2	4	-2
7	7	0
5	6	-1

Mean difference = .78, standard deviation of the difference = 1.99

8. I think that education influences income. Use the data below to test my hypothesis.

Group	Sample Size	Mean Income	Std. Dev.
Less than H.S. degree	30	15,545	165.21
H.S. Degree	120	19,621	342.87
Some College	40	20,210	155.99
Bachelor’s Degree	80	24,398	899.34
Graduate Degree	15	33,568	8003.84

F= 14.27, p=.000

9. Is there a relationship between SEI and number of hours worked last week?

r = .23, p = .09 (two tailed)

10. Is there a relationship between years of education and dollars earned?

r = .33, p = .000 (two tailed)