Question

. Given a research experiment with a = .05, and β = .20. Calculate the following:                                           (1 point each)

1. Given that the null is true, the probability of failing to reject the null equals _________.

2. Given that the null is false, the probability of failing to reject the null equals   _________.

3. Given that the null is false, the probability of rejecting the null equals _________.

Answer 1

a) Power= 1 - beta= 1 - 0.20= 0.8

b) Beta = 0.20

c) 1 - alpha= 1 - 0.05= 0.95

power is 1- P[ accepting Ho / H1 is true] which is 1- Type 2 error(beta)

Beta is probablity of failing to reject null hypothesis or accepting Ho when in reality alternative that is H1 is true.

Alpha is the probablity when null hypothesis is true and we reject null hypothesis. Thus given null hypth false, the probablity of rejecting it will be 1- alpha

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