use excel format and explain steps do not use other tools Chapter 9 . Nonparamet
ID: 3359478 • Letter: U
Question
use excel format and explain steps do not use other tools
Chapter 9 . Nonparametric Tests of Significance 359 36. A university president is curious about the likelihood that undergraduates would study for a semester in another country. She speculates that, given prevailing social norms suppo ive of males' risk-taking behavior, male students would be more likely than their female counterparts to want to study abroad. To find out, she surveyed men and women on cam- pus, asking them to rate their interest on a scale of 1 (very disinterested) to 7 (very inter- ested). Conduct a median test on the following data to test the null hypothesis that men and women are equally likely to desire studying abroad as undergraduates. rt- Men Women 4 4 4 4 4Explanation / Answer
Result:
Overall median =4.5
group
Median
N <= Overall Median
N > Overall Median
total
men
8
4
12
women
4
8
12
Total
12
12
24
Null hypothesis
H: The population medians are all equal
Alternative hypothesis
H: The population medians are not all equal
Chi square= N(ad-bc)^2/ ( (a+b)(a+c)(b+d)(c+d))
=24*(8*8-4*4)^2/(12*12*12*12)
=2.67
Calculated chi square =2.67 which is < 3.841 critical value at 5% level.
Ho is not rejected
There is no significant difference between the two groups.
We conclude that Voting is not influenced by gender.
group
Median
N <= Overall Median
N > Overall Median
total
men
8
4
12
women
4
8
12
Total
12
12
24
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