Is there an association between gender and being a Doctor Who fan? You survey 10
ID: 3021029 • Letter: I
Question
Is there an association between gender and being a Doctor Who fan? You survey 100 students at the University of Maryland and get the following results.
Use the following website to calculate your X2*value and your p-value. Assume alpha = 5% for all these tests.
Male
Female
Likes Doctor Who
16
7
Doesn’t Like Doctor Who
34
43
a) State the full name of the Chi Square test you will use to analyze these data
b) State the question (ID the population)
c) State your null and alternative hypotheses (define symbols)
d) Use the following online calculator to calculate:
http://www.physics.csbsju.edu/cgi-bin/stats/contingency_form.sh?nrow=2&ncolumn=2
e) add the expected values to the chart above in RED.
f) Provide a statement of conclusion that includes the statistical evidence and makes inference back to the population.
Male
Female
Likes Doctor Who
16
7
Doesn’t Like Doctor Who
34
43
Explanation / Answer
a) I will use the Chi square test for differnce between two proportion to analyze the data.
c) Null hypothesis: 1= 2
Alternative hypothesis: 1 2
Where 1, 2 are population proportions.
d) From link following calculations are calculated.
Chi-square = 4.57
degrees of freedom = 1
probability = 0.032
e) Expected table
Male
Female
Like Doctor
11.5
11.5
Don’t like
38.5
38.5
Male
Female
Like Doctor
11.5
11.5
Don’t like
38.5
38.5
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