When comparing two sample proportions with a two-sided alternative hypothesis, all other factors being equal, will you get a smaller p-value with a larger sample size or a smaller sample size?...

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When comparing two sample proportions with a two-sided alternative hypothesis, all other factors being equal, will you get a smaller p-value with a larger sample size or a smaller sample size? Explain.

Answered Same DayDec 25, 2021

Answer To: When comparing two sample proportions with a two-sided alternative hypothesis, all other factors...

Robert answered on Dec 25 2021

116 Votes

We will get smaller p-value from larger sample size because larger sample
size gives smaller standard error of proportion, which makes the z-score more
extreme, and p-value of an extreme z is smaller.
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When comparing two sample proportions with a two-sided alternative hypothesis, all other factors being equal, will you get a smaller p-value with a larger sample size or a smaller sample size?...

Answer To: When comparing two sample proportions with a two-sided alternative hypothesis, all other factors...

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