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uppose that you are researching the mean height of all kangaroos in Australia. Out of the estimated 50 million kangaroos in Australia, you have a sample of 100 of them. When you are calculating the standard error, why is it appropriate to ignore the correction factor?Group of answer choicesWe have a large sample sizeWe are drawing with replacement so correction factor is not neededThe sample size is much smaller than the population sizeIt is too complicated to calculate the correction factor

Question

uppose that you are researching the mean height of all kangaroos in Australia. Out of the estimated 50 million kangaroos in Australia, you have a sample of 100 of them. When you are calculating the standard error, why is it appropriate to ignore the correction factor?Group of answer choicesWe have a large sample sizeWe are drawing with replacement so correction factor is not neededThe sample size is much smaller than the population sizeIt is too complicated to calculate the correction factor

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Solution

The reason it is appropriate to ignore the correction factor when calculating the standard error in this case is because the sample size is much smaller than the population size. The correction factor is used to adjust the standard error when the sample size is a significant proportion of the total population. However, in this case, 100 kangaroos out of 50 million is a very small proportion (0.0002%). Therefore, the effect of the correction factor on the standard error would be negligible and can be ignored for simplicity.

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