Question

**For each of the studies, please indicate the
following:**

1)Independent variable True/Quasi?

2)Is there more than one IV?

3) The levels of the independent variable

4) Dependent variable

5) the level of measurement (NOIR) of the DV

6) Between (BS) or within-subjects (WS)?

7) What type of design is being used?

8) What is the appropriate statistic? (for correlation list all variables)

**Study 11:** A psychologist is interested in
conducting a study of grand juries in L.A. county to see how they
compare with the demographics of potential jurors in the
population. She wants to see if jury panels are really
representative of the population. The first variable she examines
is age. The percentage of people over 65 in the population of
potential jurors is 25%, but the number of people aged 65 or more
who were involved in grand jury trials was 38%. She wants to know
if the difference between people over 65 on juries is significantly
different than that of the population. What test should she use?
?

Answer #1

Answer

The test to be used is the **large sample Z-test.
ANSWER**

**Details:**

Let p = proportion of people over 65 in the population of potential jurors and

pcap = proportion of people aged 65 or over 65 who were involved in grand jury trials.

Then, the hypotheses to be tested are:

Hypotheses:

Null H_{0} : p = p_{0} = 0.25 (25%) Vs
H_{A} : p **?** 0.25

Test Statistic:

Z = (pcap - p_{0})/?{ p_{0}(1 -
p_{0})/n} where pcap = sample proportion and n = sample
size.

Distribution, Critical Value and p-value:

Under H_{0}, distribution of Z can be approximated by
Standard Normal Distribution, provided

np_{0} and np_{0}(1 - p_{0}) are both
greater than 10.

So, given a level of significance of ?%, Critical Value = upper (?/2)% of N(0, 1), and

p-value = P(Z > | Zcal |)

Decision Criterion (Rejection Region):

Reject H_{0}, if | Zcal | > Zcrit or if p-value <
?.

**DONE**

For each of the studies, please indicate the
following:
1)Independent variable
True/Quasi?
2)Is there more than one
IV?
3) The levels of the independent
variable
4) Dependent variable
5) the level of measurement (NOIR) of the DV
6) Between (BS) or within-subjects (WS)?
7) What type of design is being used?
8) What is the appropriate statistic? (for correlation list all
variables)
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