Question

Does a person's educational level affect his or her decision about marrying? A survey asked a random sample of 1397 U.S. adults about their education level and marital status. The results are summarized below. Education and Marital Status Education Level Marital Status Less HS HS College Total Single/Widowed 6 115 256 377 Married 18 256 442 716 Divorced 13 136 155 304 Total 37 507 853 1397 (3 decimal places) (a) The cell with the highest observed count contains a value of 442. What is the expected count for this cell? (b) State the alternative hypothesis for this test. Education level and marital status are independent. Education level and marital status are associated. (c) The test statistic for this data has a value of 22.189. Use the Chl-Square calculator to find the P-value. P-value (3 decimal places) () At alpha -0.05, would you reject the null hypothesis? Yes No (e) Is education level associated with marital status? At the 5% significance level, the data gives evidence to indicate that education level is associated with marital status. At the 5% significance level, the data does not give significant evidence to indicate that education level is associated with marital status.

Answer 1

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Ans (a) E (442) = row total * coluno total Grand total 716*853 1397 =437.185 = E(442) b) Null hypothesis: Education level and marital states are independent Alternative hypothesis ; Education level and marital Status not independent option is alternative hypothesis. are and : ری Giren test statistic ander Ho es ; tral 22.189 using chi-square calculator we get the p-value & = 0,0001838 (d) at The p-value 50.000 X=0.05, since p-value <x=0.05 result 98 significant at d=0:05 Hence, yes we will reject the null hypothesis. @. At the st. level of significance ithe date gives evidence to indicate that education level is associabel with martial status. (and option as correct)