(a) (i) Form the data into a contingency table suitable for analysis using a x distribution. (ii) Use a x² test, at the 1% level of significance, to determine whether there is an association between the age profile of the staff employed and the area within which the school is situated. (b) Interpret your result in part (a)(ii) as it relates to the 22-34 age group.
(a) (i) Form the data into a contingency table suitable for analysis using a x distribution. (ii) Use a x² test, at the 1% level of significance, to determine whether there is an association between the age profile of the staff employed and the area within which the school is situated. (b) Interpret your result in part (a)(ii) as it relates to the 22-34 age group.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:It is claimed that the area within which a school is situated affects the age profile of the staff
employed at that school. In order to investigate this claim, the age profiles of staff employed
at two schools with similar academic achievements are compared.
Academia High School, situated in a rural community, employs 120 staff whilst Best Manor
Grammar School, situated in an inner-city community, employs 80 staff.
The percentage of staff within each age group, for each school, is given in the table.
(a)
Age
22-34
35-39
40-59
Academia
High School
17.5
60.0
22.5
Best Manor
Grammar School
40.0
45.0
15.0
(i) Form the data into a contingency table suitable for analysis using a x² distribution.
(ii) Use a x2 test, at the 1% level of significance, to determine whether there is an
association between the age profile of the staff employed and the area within
which the school is situated.
(b) Interpret your result in part (a)(ii) as it relates to the 22-34 age group.
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