Alocal 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, 41 preferred the half pint lager, 27 preferred the xxx lager, and 12 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.)
$ \chi_{obt}^2 $ =