John is interested in whether there is a relationshipbetween gender and attitudes towards flogging children. He asked 60 persons “Do you think that parents should be allowed to flog their children?”.
The results are shown in the table below
Flogging
Gender
Yes
No
Not sure
Men
15
5
3
Women
20
10
7
Conduct a test, at the 3% significance level, to determine whether gender and attitudes towards flogging were related.
(a) State the null and alternative hypotheses for this test.
(b) Create a table showing the expected frequencies if gender and flogging were independent (not related).
(c) What proportion of the expected frequencies is less than 5? How does this affect the validity of the test?
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