13. please show all work for this problem and round as far as possible

thank you

There is a popular story (among data miners) that there is a correlation between men buying diapers and buying beer while shopping. A student tests this theory by surveying 122 male shoppers as they left a grocery store. The results are summarized in the contingency table. Test for a dependent relationship between buying beer and buying diapers. Conduct this test at the 0.10 significance level. (a) Find the expected frequencies. Bought Diapers Did Not Buy Diapers Totals Beer 6 46 52 R No Beer 7 63 70 Totals 13 109 122 Beer No Beer (b) Find the test statistic. (c) Find the critical value. (d) is there sufficient data to support the claim? Yes No Bought Diapers Did Not Buy Diapers