[11] Suppose you want to conduct a t-test using a 0.05. You take a random sample

Question

[11] Suppose you want to conduct a t-test using a 0.05. You take a random sample of size 30 and obtain the sample mean and sample standard deviation. As a result, you fail to reject the null hypothesis and its p-value is 0.07. Now, you decide to take a random sample with size 40 from the same population and Compared with the p-value forn-30, the p-value for n 40 will you obtain the same sample mean and sample standard deviation. (A) be smaller (B) be larger (C) stay the same (D) be either smaller or larger depending on the B error

Explanation / Answer

her as increasing the sample size will lower the std error and theefore increase the critical value

and therefore p value will get reduced

therfore option A is correct.

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