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Calculating sample Size

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A market research agency would like to estimate the proportion of Canadian households owning a personal computer. What minimum sample size will be required if they want to be 99% confident that the sample proportion will not differ from the true population proportion by more than 5%?

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The sample size required for estimating proportion with 99% confidence is calculated

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A market research agency would like to estimate the proportion of Canadian households owning a personal computer. What minimum sample size will be required if they want to be 99% confident that the sample proportion will not differ from the true population proportion by more than 5%?

This is a two tailed test since we are testing whether sample proportion will not differ from the true population proportion

σp=standard error of proportion=√(pq/n)
The maximum value of standard error of proportion for any given value of n is when p=q=0.5

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