A researcher drew a random sample of 24 people seeking asylum in the United States and recorded whether they were granted amnesty ("yes" or "no"). The researcher also grouped them according to their gender ("male" or "female"). The results are below:
Granted General Amnesty
Gender of Asylum Seeker | Yes | No |
Male | 5 | 4 |
Female | 8 | 7 |
Enter this information into SPSS. Use this information to answer questions #4 - #7.
Question 4
Identify the null hypothesis and research (alternative) hypothesis.
Group of answer choices
Null Hypothesis
[ Choose ] There is no true relationship between gender and amnesty. There is a true relationship between gender and amnesty.
Research (Alternative) Hypothesis
[ Choose ] There is no true relationship between gender and amnesty. There is a true relationship between gender and amnesty.
Question 5
What is the value of chi-square?
Question 6
What is the associated probability?
Question 7
The researcher should retain the null hypothesis.
Group of answer choices
True
False
Null Hypothesis : There is no true relationship between gender and amnesty.
Research (Alternative) Hypothesis: There is a true relationship between gender and amnesty.
5)
Applying chi square test of independence: |
Expected | Ei=row total*column total/grand total | Yes | No | Total |
male | 4.875 | 4.125 | 9 | |
female | 8.125 | 6.875 | 15 | |
total | 13 | 11 | 24 | |
chi square χ2 | =(Oi-Ei)2/Ei | Yes | No | Total |
male | 0.003 | 0.004 | 0.0070 | |
female | 0.002 | 0.002 | 0.0042 | |
total | 0.0051 | 0.0061 | 0.0112 | |
test statistic X2 = | 0.0112 |
Question 6
associated probability =0.9158
Question 7 :
true
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