WEEK 8 – EXERCISES

Enter your answers in the spaces provided. Save the
file using your last name as the beginning of the file name (e.g., ruf_week8_exercises) and submit via the Drop Box. When appropriate, show your work.

1. When
does the obtained chi-square value equal zero? Provide an example of when this
might happen.

2. Using
the following data, test the question that an equal number of Democrats,
Republicans, and Independents voted during the most recent election. Test the
hypothesis at the .05 level of significance. Do this by hand.

Political
Affiliation

Republican

Democrat

Independent

800

700

900

3. School
enrollment officials expected a change in the distribution of the number of
students across grades and were not sure whether it is what they should have
expected. Test the following data for goodness of fit at the .05 level.

Grade

1

2

3

4

5

6

Number of students

309

432

346

432

369

329

4. Gender differences in dream content are
well documented. Suppose a researcher studies aggression content in the dreams
of men and women. Each participant reports his or her most recent dream. Then
each dream is judged by a panel of experts to have low, medium, or high
aggression content. The observed frequencies are shown in the following matrix:

GENDER

AGGRESSION CONTENT

Low

Medium

High

Female

18

4

2

Male

4

17

15

a.
Is
there a relationship between gender and the aggression content of dreams? Test
at the 0.01 level of significance.

5. Although the phenomenon is not well
understood, it appears that people born during the winter months are more
likely to develop schizophrenia than people born at other times. The following
hypothetical data represent a sample of 50 individuals diagnosed with
schizophrenia and a sample of 100 people with no psychotic diagnosis. Each
individual is also certified according to season in which he or she was born.
Do the data indicate a significant relationship between schizophrenia and the
season of birth? Test at the 0.05 level of significance.

Season of Birth

total

Summer

Fall

Winter

Spring

No disorder

26

24

22

28

100

Schizophrenia

9

11

18

12

50

total

35

35

40

40

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