Which of the following statements is correct?
A)Increasing α will make it more likely that we will reject H0,ceteris paribus.
B)Doubling the sample size roughly doubles the test statistic,ceteris paribus.
C)A higher standard deviation would increase the power of a test for a mean.
D)The p-value shows the probability that the null hypothesis is false.

Question

Quizplus · Accepted Answer

Increasing α (the level of significance) increases the probability of rejecting the null hypothesis, assuming all other factors are constant.

Answer: None of the other statements are correct. 
 
B) Doubling the sample size does not necessarily double the test statistic, as the test statistic can also depend on the variability of the data and the effect size being tested. 
C) A higher standard deviation would typically decrease the power of a test for a mean, as it indicates more variability in the data and makes it harder to detect a true difference from the null hypothesis. 
D) The p-value is not the probability that the null hypothesis is false; rather, it is the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true.

Which of the Following Statements Is Correct