In the PREVEND data, researchers measured various features of study participants, including data on statin use and highest level of education attained. A two-way table of education level and statin use is shown below.

(a) Set up hypotheses for evaluating whether there is an association between statin use and educational level.

(b) Check assumptions required for an analysis of these data.

(c) Statistical software was used to conduct a \(\chi^{2}\) test: the test statistic is 19.054 , with \(p\)-value 0.0027 . Summarize the conclusions in context of the data, and be sure to comment on the direction of association.

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Primary LowerSec UpperSec Univ Sum NonUser 31 111 107 136 385 User 20 46 27 22 115 Sum 51 157 134 158 500