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What happens to the the p-value of a hypothesis test of a population proportion when the...

What happens to the the p-value of a hypothesis test of a population proportion when the sample size increases. For example, you took two samples from the same population, one of size 50 and one of size 100. You got the same sample proportion in each case.

(a) The p-value is larger for the sample of size 50.

(b) The p-value is larger for the sample of size 100.

(c) The p-value is the same for each of the sample sizes.

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Answer #1

When we increase the sample size assuming everything else is equal then standard error will decrease and we will get smaller p-value.

Correct ans: a)The p-value is larger for the sample of size 50.

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