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Unformatted text preview: arketing consulting firm, 30% of the employees are aged
20-29 years, 40% are aged 30-39 years, 20% are aged 40-49 years, and
10% are aged 50 years and over. The personnel manager of the firm is
interested in knowing whether age is a factor in the taking of sick days.
She takes a random sample of 100 sick days and finds the following
distribution of sick days by age group:
50 years and over No. of Sick Days
13 Using these data, test at the α = 0.05 level of significance the hypothesis
that age is not a factor in taking sick days. If age is not a factor in taking sick days, then the expected proportion of the sick
days taken by a particular age group should be the same as the proportion of the
firm’s employees in that age group. We would have: 2 Age
50 years and over ∑ ( ) ( oi
) ( ei
) ( ) ( ) c-1=4-1=3 and hence the critical value is
we do not reject the null hypothesis that age is not a factor
in the taking of sick days. 3 4. A public health...
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