Chi square test
2The student population at the state college consists of 55% female and 45% males.
a The college theater department recently staged a production of a modern musical. A
researcher recorded the gender of each student entering the theater and found a total of 385
females and 215 males. Is the gender distribution for theater goers significantly different from
the distribution for the general college? Test at the .05 level of significance.
Answer
The
Null hypothesis
tested is
H0:
There is no significant difference in the gender distribution between theater goers and the
general college.
The
Alternative Hypothesis
is
H1:
The gender distribution for theater goers significantly different from the distribution for the
general college.
The significance level used is 0.05.
The test Statistic used is
2
2
(
)
O
E
E
χ

=
∑
where O is the observed frequency and E is the
expected frequency.
The Expected frequencies are given below.
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 Spring '10
 NAKKIEW,PICHAYA
 Null hypothesis, Statistical hypothesis testing, Statistical significance, general college, gender distribution

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