Part 1: what are the conditions for using the standard deviation formula when conducting a significance test? be specific about p versus p-hat. part 2: what are the conditions for approximating with a normal distribution?'

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Mathematics

Asia Fleming

2 November, 11:18

Part 1: what are the conditions for using the standard deviation formula when conducting a significance test? be specific about p versus p-hat. part 2: what are the conditions for approximating with a normal distribution?'

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Isla Booth · Answer 1

The conditions that must be met when using the standard deviation formula when conducting a significance test are that the samples should be independent of each other and the variance is known and not infinite.

The difference between p and p-hat is that p represents that true standard deviation of the population while p-hat is only an approximation using a sample of the population.

The conditions that must be met when approximating a normal distribution are that the samples must be independent of each other and that number of samples must be at least 30.