Tutorial solutions week 13

In a busy marketing consulting firm 30 of the

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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: Age 20-29 years 30-39 years 40-49 years 50 years and over No. of Sick Days 26 37 24 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 20-29 years 30-39 years 40-49 years 50 years and over ∑ ( ) ( oi 26 37 24 13 100 ) ( ei 30 40 20 10 100 ) ( ) ( ) c-1=4-1=3 and hence the critical value is Since 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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