3. CSN wants to test the effectiveness of a time management workshop on a sample

Question

3. CSN wants to test the effectiveness of a time management workshop on a sample of students. They randomly select a group of students and send them invitations to participate in a time management workshop on campus. A total of n 300 attended the workshop. They then select a random sample off n 300 students who did not attend the time management workshop to use as a control group. Of those who attended the workshop, 190 were successful (received a Cor higher in a randomly selected course the semester following the workshop) and 110 were not successful (received a C- or lower, or withdrew from a randomly selected course the semester following the workshop). Ofthose who did not attend the workshop 120 were successful (received a Cor high er in a randomly selected course the semester following the workshop) and 180 were not successful (received a C-or lower, or withdrew from a randomly selected course the semester following the workshop) Do the data suggest that there is a significant (a 05) relationship between the time management course and student success Successful Not Successful 120 Did Not Attend Workshop 310 n 600

Explanation / Answer

null hypothessis: management course and student succuess are independent

alternate hypothesis: management course and student success are dependent

pplying chi square test of independence on above:

for above degree of freedom =1

and chi stat =X2 =15.652

for above chi stat ; p value =0.0001

here as p value is less then 0.05 level we reject null hypothesis that management course and student succuess are independent and conclude that a relationship exist between them

Observed O successful No success Total Attended workshop 600 63 663 not attended 720 142 862 Total 1320 205 1525 Expected E=rowtotal*column total/grand total successful No success Total Attended workshop 573.875 89.125 663 not attended 746.125 115.875 862 Total 1320 205 1525 chi square =(O-E)^2/E successful No success Total Attended workshop 1.189 7.658 8.847 not attended 0.915 5.890 6.805 Total 2.104 13.548 15.652

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