Which of the following are true If false explain briefly a U

Which of the following are true? If false, explain briefly. a) Using an alpha level of 0.05, a P-value of 0.02 results in rejecting the null hypothesis. b) The alpha level depends on the sample size. c) With an alpha level of 0.01, a P-value of 0.08 results in rejecting the null hypothesis. d) Using an alpha level of 0.05, a P-value of 0.07 means the null hypothesis is true

Solution

b) is false because alpha level is chosen by expreimented irrespective of sample size

c) is false because we fail to reject if p-value > alpha

d) is false because null is never conclude true, we only state that \"it is plausible that null is true\"