A local brewery produces three premium lagers named Half Pint,
XXX, and Dark Night. Of its premium lagers, they bottle 40% Half
Pint, 40% XXX, and 20% Dark Night lagers. In a marketing test of a
sample of consumers, 27 preferred the Half Pint lager, 42 preferred
the XXX lager, and 11 preferred the Dark Night lager. Using a
chi-square goodness-of-fit test, decide to retain or reject the
null hypothesis that production of the premium lagers matches these
consumer preferences using a 0.05 level of significance.
State the value of the test statistic. (Round your answer to two
decimal places.)
X2obt= ___________
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