5. A research group is interested in determining if children of divorced parents

Question

5. A research group is interested in determining if children of divorced parents related differently to authority figures than children of non-divorced parents. They administer a measure of resistance to authority figures (1-10). A total number of 45 participants completed the measures (20 divorced and 25 non-divorced).

1. What are the researcher’s independent and dependent variables?

a. Independent:

b. Dependent:

2. What are the null and alternative hypotheses (use the appropriate symbols not words)?

a. H0:

b. H1:

3. What is the appropriate test for the researcher to use?

4. Why is that statistic appropriate?

If applicable to the specific test:

5. What are the test’s assumptions?

6. What are the test’s df?

7. What is the appropriate critical value?

8. If the research obtains a test statistic of ____ , would the researcher retain or reject H0?

9. Should the researcher do any follow up tests or make any graphs/charts?

10. Interpret the findings in APA style

Explanation / Answer

5.

Given that,
sample one, x1 =20, n1 =45, p1= x1/n1=0.444
sample two, x2 =25, n2 =45, p2= x2/n2=0.556
null, Ho: p1 = p2
alternate, H1: p1 != p2
level of significance, = 0.05
from standard normal table, two tailed z /2 =1.96
since our test is two-tailed
reject Ho, if zo < -1.96 OR if zo > 1.96
we use test statistic (z) = (p1-p2)/(p^q^(1/n1+1/n2))
zo =(0.444-0.556)/sqrt((0.5*0.5(1/45+1/45))
zo =-1.054
| zo | =1.054
critical value
the value of |z | at los 0.05% is 1.96
we got |zo| =1.054 & | z | =1.96
make decision
hence value of |zo | < | z | and here we do not reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != -1.0541 ) = 0.2918
hence value of p0.05 < 0.2918,here we do not reject Ho
ANSWERS
---------------
1.
An independent variable, sometimes called an experimental or predictor variable, is a variable that is being manipulated in an experiment
in order to observe the effect on a dependent variable, sometimes called an outcome variable.
a.independent variable:
20 divorced and 25 non-divorced
b.dependent variable:
total number of 45 participants completed the measures
2.
null, Ho: p1 = p2
alternate, H1: p1 != p2
3.
Z test for differenece of proportion
4.
test statistic: -1.054
5.level of significance = 0.05
6. degree of freedom = n-1 = 45-1 =44
7.
critical value: -1.96 , 1.96
8.the research obtains a test statistic would the researcher retain Ho
decision: do not reject Ho
9.no charts
10.
p-value: 0.2918

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