A random sample of 395 people were classified by their age and by whether or not

Question

A random sample of 395 people were classified by their age and by whether or not they change channels during programs when watching television. Use the following data to test the null hypothesis H_0: Changing channels and age are independent attributes. Choose the significance level 5%. Give an approximate p value. Age 18-24: 60/40 (yes/no), total - 100 Age 25-34: 54/44 (yes/no), total - 98 Age 35-49: 46/53 (yes/no), total - 99 Age 50-64: 41/57 (yes/no), total - 98 All ages combined: 201/194 (yes/no), total - 395

Explanation / Answer

applying chi square distribution on above:

for above chi stat 8.006 and 3 degree if freedom ; p value =0.0459

Observed O hispanic not hispanic Total 18-24 60 40 100 25-34 54 44 98 35-49 46 53 99 50-64 41 57 98 Total 201 194 395 Expected E=rowtotal*column total/grand total hispanic not hispanic Total 18-24 50.886 49.114 100 25-34 49.868 48.132 98 35-49 50.377 48.623 99 50-64 49.868 48.132 98 Total 201 194 395 chi square =(O-E)^2/E hispanic not hispanic Total 18-24 1.632 1.691 3.324 25-34 0.342 0.355 0.697 35-49 0.380 0.394 0.774 50-64 1.577 1.634 3.211 Total 3.932 4.074 8.006

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