Question

All else being equal, which of the following is true?

a) As you increase the sample size, you will decrease the p-value.

b) As you increase the standard deviation, the ? level will increase.

c) As you increase the ? level, the p-value decreases.

d) As the sample mean gets further from the mean, the p-value will increase.

Answer 1

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Lets check this:

When the sample mean increases then the test statistic will also increase. When test statistic increases, the p-value should decrease. Hence, d. is ruled out.

c. Alpha level has got nothing to do with p-value, and hence c. is wrong

b. standard deviation increase or decrease will impact p-value and not alpha Hence, b. is wrong

a. This is correct. Increasing the sample size will tend to result in a smaller P-value only if the null hypothesis is false, which is the point at issue