A pharmaceutical firm, studying the selection of “name brand” versus “generic equivalent” on prescription forms, has been given a sample of 150 recent prescriptions submitted to a local pharmacy. Of the 44 under-40 patients in the sample, 16 submitted a prescription form with the “generic equivalent” box checked. Of the 52 patients in the 40–60 age group, 28 submitted a prescription form specifying “generic equivalent,” and for the 54 patients in the 61-or-over age group, 32 submitted a prescription form specifying “generic equivalent.” At the 0.025 level, is age group independent of name-brand/generic specification? Based on the chi-square table, what is the most accurate statement that can be made about the p-value for the test?
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