Ex. 17.2
As part of a survey on the use of Office Suites Software, the company
doing the polling wanted to know whether it’s population was uniformly
distributed over the following age distribution: under 25, 25 to 44, 45
and up. The company looked at the data it had collected so far and
found the following distributions:
Age Group Number of Respondents
Under 25 73
25 to 44 61
45 and up 66
Total 200
a). Based on the data, do you think that the respondents are uniformly
distributed over the age categories?
b). Set up the hypotheses to test whether the data are uniformly
distributed over the age categories.
c). Find the expected frequency distribution and perform the chi-square
goodness of fit test.
d). At the 0.05 level of significance, would you say that the
respondents were uniformly distributed over the age groups?
