6. In a study of parents\' feelings about a required course in sex education, 36

Question

6. In a study of parents' feelings about a required course in sex education, 360 parents, a random sample, are classified according to whether they have one, two, or three or more children in the school system and also whether they feel that the course is poor, adequate, or good. Based on the results shown in the following table, test at the 0.05 level of significance whether there is a relationship between parents' reaction to the course and the number of children that they have in the school system Number of children 2 41 3 or more Poor46 Parents' feeling Adequate51 Good I-59 28 43

Explanation / Answer

TS = 3.4575 > critical value (9.4877)

we reject the null hypothesis

and conclude that there is sufficient evidence that there is relationship between parent's reaction to the course

c1 c2 c3 sum r1 46 41 15 102 r2 51 55 28 134 r3 59 43 22 124 sum 156 139 65 360 Eij 1 2 3 expected 1 44.2 39.38333 18.41667 2 58.06667 51.73889 24.19444 3 53.73333 47.87778 22.38889 0i 46 41 15 51 55 28 59 43 22 Ei 44.2 39.38333 18.41667 58.06667 51.73889 24.19444 53.73333 47.87778 22.38889 (Oi-Ei)^2/Ei 0.073303 0.066363 0.633861 0.860008 0.205548 0.598578 0.516212 0.496947 0.006755 sum 3.457575 critical value 9.487729

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