Problem 17BSC
In Exercise, test the given claim.
Survey Refusals A study of people who refused to answer survey questions provided the randomly selected sample data shown in the table below (based on data from “I Hear You Knocking But You Can’t Come In,” by Fitzgerald and Fuller, Sociological Methods and Research, Vol. 11, No. 1). At the 0.01 significance level, test the claim that the cooperation of the subject (response or refusal) is independent of the age category. Does any particular age group appear to be particularly uncooperative?




Age 



1821 
2229 
3039 
4049 
5059 
60 and over 
Responded 
73 
255 
245 
136 
138 
202 
Refused 
11 
20 
33 
16 
27 
49 
Solution 17BSC
We are given a data set between age groups and response or refusal to a survey. We have to test the claim that responding or refusing to a survey is independent of the age category.
Step 1: To test the claim we need to fulfil certain assumptions.
1. We assume that the sample has been randomly selected because of the structure of the study.
2. The results are tabulated as frequencies.
3. The expected frequencies are more than five in every column.
Step 2 : We will define hypothesis as below
= Responding or refusing to a survey is independent of the age category.
= Responding or refusing to a survey is not independent of the age category.