State whether each statement is TRUE or FALSE a If we do not

State whether each statement is TRUE or FALSE

(a) If we do not reject the null hypothesis, then we conclude that the alternative hypothesis H1 is false.

(c) If the P-value is 0.12 and the level of significance is 0.05 in a hypothesis test for a mean, then we accept the null hypothesis.

Solution

a) true , if we dont reject Ho , we conclude that H1 is false

b)

false, if a test has power 0.80

the probability of making a Type II error is 1 - 0.80 = 0.20

c) true

P value is greater than significance level, so we acecept the null hypothesis