Instructions: Questions 1-3 refer to the following observed data:

A gambler interested in increasing his understanding of the odds associated with a standard deck of playing cards conducts the following experiment. Using a standard deck of 52 cards, he randomly cuts the deck 20 times and records the suit of the top card. The resulting distribution is as follows:

Clubs

3

Diamonds

11

Hearts

0

Spades

6

1.Calculate the expected frequencies for hearts.

2.Calculate the degrees of freedom.

3.Calculate chi-square.

4.what does that mean?

Instructions: Questions 6-10 refer to the following situation:

A researcher is interested in studying the relationship between the socioeconomic status (SES) of a community and the crime rate in that community. Here is the data (N = 156) she is working with:

Community SES

Rich Moderate Poor Total

10 15 28 53

18 26 17 61

24 10 8 42

52 51 53

6.Calculate the expected frequencies:

High rich

high moderate

high poor

Moderate rich

moderate moderate

moderate poor

low rich

low moderate

low poor

7.Calculate chi-square

8.What are the degrees of freedom

9.Are the results statistically significant?

10.What are your conclusions about the null hypothesis?

Instructions: Questions 11-15 refer to the following situation:

Below are the results of a cross-tabulation regarding the relationship between location of residence and an individual's fear of being a victim of a violent crime:

Residence Very Afraid Somewhat afraid Not afraid

Rural 10 35 55

Urban 60 25 15

11.What is the null hypothesis

12.What are the degrees of freedom?

13.What is the critical chi-square value given in Table F of appendix C for the .05 significance level?

14.Compute the chi-square value

15.Is there a significant difference between residence locations and an individual's fear of crime? what is the significance ?