Question

(a) Construct a contingency table for the two variats Course Per Male Work Female A survey of 36 randomly selected students who dropped a course was conducted at a college. The following results were collected Complete parts (a) through ) Full data set Course M Work F Personal M Course M WorkM Course Work Work Personal M Personal Course Course F Personal M Work Personal M Personal F Personal Course M Course Work M Course M Personal M Personal F Personal Personal Course M Work F Personal M Work Personal Work M Work Personal M Work M Course Personal (b) Test whether gender is independent of drop reason at the 0.1 bevel of cance What are the hypotheses? OA H Gender and drop reason are independent Hy Gender and drop reason are dependent OB, H, 0c Ec and On Ep and Owew H, 0c Eco Op Ep Or OwFEw OC. Ho Pc-Pp5Pw Hi Alleast one of the proportions is different from the others Calculate the test statistic Click to select your answer(s) Save for Later II ê M O Type here to search

Answer 1

Extracting the information from given table la) The observed count Course personal Wook Tota) male 6 5 8 19 5. 3 female 17 Total ll 14 86 q 11 b) We want to test. Ho : Gender and doop season are independent VS Hi: Gender and drop season coe dependeno The expected count is given by lij= crow total); * { column total), 36 E The expected scount personal Total male female Total Course 5.80 5:19 7.39 6.61 140 a wook 5.81 5:19 11 = Here au expected count are greater than 5. ve Test statistic x² (8-5-81)24 (5-7:39)?(8-5:81)2+(5- 5:19)2 5.81 7.39 5.81 5:19 (9-6:61) (3-5:19) 6.61 5:19 + + 2 + + Z x = 3: 39987 ² x 3.40

df = (2-1) * (3-1) = 2. critical value at d=0.05 X24 0.05 = 5.991 2 Decision ! 22= 3.40 < x 20:05 = 5.991, Fail to reject Dull hypothesis. Conclusion: There is insufficient evident to conclude that the gender and doop geason ave dependent.