FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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When conducting a significance test for the difference in proportions, why do we pool the data when finding standard error?
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Because we like to swim
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Because we assume p1 = p2 in Ho
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Because the sample sizes are always equal
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To be safe and make sure we don’t underestimate the standard error
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Explanation:
Detailed explanation-1: -This is called the pooled estimate of the sample proportion, and we use it to compute the standard error when the null hypothesis is that p1=p2 p 1 = p 2 (e.g. pc=pn p c = p n or pc−pn=0 p c − p n = 0 ). We also typically use it to verify the success-failure condition.
Detailed explanation-2: -Why do we pool the sample proportions? We pool the sample proportions so that we can estimate p in a way that makes sense to combine the data from the two samples.
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