Statistics Homework Solutions
Problem
#10601

Analysis of qualitative data

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?

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Ex17.2.doc
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?


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