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How step varies with samples size

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Reference no: EM132855441

(a) Suppose you have taken a sample of 100 people from a population, and found that the percentage of then with a certain characteristic is 10 per cent. What would be the value of STEP and the width of the 95 per cent confidence interval in this case?

(b) Now suppose that you obtain the same figure of 10 per cent, but from samples with 400, 900 and 1600 people. What are the corresponding values of STEP?

(c) Using the values you have calculated, sketch a graph to show how step varies with samples size. What do you notice?

(d) In the light of your graph, comment on the fact that many market research and political opinion surveys contain 500 to 1000 respondents.

Reference no: EM132855441

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