Bara Research Group conducted a survey about church attendance. The survey respo

Question

Bara Research Group conducted a survey about church attendance. The survey respondents were asked about their church attendance and asked to indicate their age. Use the sample data to determine whether church attendance is independent of age.

         Church         Age

         Attendance         20 to 29         30 to 39         40 to 49         50 to 59

         Yes 31 63 94 72

         No 69 87 106 78

Using a 0.05 level of significance, perform the appropriate hypothesis test to determine if church attendance is dependent of the age of the individuals.

Explanation / Answer

Ans:

Chi square test of independence:

H0:church attendance is independent of age.

Ha:church attendance is dependent on age.

Expected count=row sum*column sum/overall sum

df=(2-1)*(4-1)=3

p-value=CHIDIST(8.729,3)=0.0331

As,p-value<0.05,we reject null hypothesis.

There is sufficient evidence to conclude that church attendance is dependent of the age of the individuals.

Observed(O) Church att. 20-29 30-39 40-49 50-59 Total Yes 31 63 94 72 260 No 69 87 106 78 340 Total 100 150 200 150 600 Expected(E) Church att. 20-29 30-39 40-49 50-59 Total Yes 43.33 65 86.67 65 260 No 56.67 85 113.33 85 340 Total 100 150 200 150 600 chi square=(O-E)^2/E Church att. 20-29 30-39 40-49 50-59 Yes 3.510 0.062 0.621 0.754 No 2.684 0.047 0.475 0.576 Total calculated chi square score=8.729

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