Question: a. Perhaps the most frequently asked question concerning sampling is what sample size do I need? The answer to this question is influenced by a
a. Perhaps the most frequently asked question concerning sampling is what sample size do I need? The answer to this question is influenced by a number of factors. Discuss. (10 marks)
b. The age structure of a particular companys workforce has been presented as follows:
| Age (in years) | Male | Female |
| Under 30 | 610 | 244 |
| 30 but under 50 | 754 | 226 |
| 50 and over | 666 | 174 |
i. Describe how you would design the sample to ensure that it is representative.
ii. The management of the company would like to use the survey results to assess the reaction of the workforce to merger plans. Determine the sample size required to estimate the percentage in favour, given that no prior information is available, to within 3% for the complete workforce within 95% (Z=1.96) confidence interval.
iii. On the basis of the sample size in above, give the characteristics of the sample.
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