Question

1.Suppose we are testing a set of hypotheses using a significance level of 0.05. For which of the following p-values would we reject the null hypothesis? Select all that apply.

A. 0.06

B. 0.11

C. 0.02

D. 0.005

2. To increase the power of a hypothesis test, we can (select all that apply):

A. Increase the sample size

B. Decrease the sample size

C. Increase the significance level

D. Decrease the significance level

Answer 1

Quest 1 : We reject thehthe when we have the p value<0.05

Therefore we reject the null hypothesis at OPTION(C) 0.02 AND OPTION(D) 0.005

Quest2:

To increase the power of the test we have to INCREASE THE SAMPLE SIZE OPTION(A) and INCREASE THE LEVEL OF SIGNIFICANCE OPTION(C).

As greater the sample size greater eill be the power.

For significant level: As we decrease the significant level, the acceptance region increases ans we are less likely to reject the null hypothesis when it is false and we are more likely to commit Type 2 error.

Hence the power reduce as level of significance reduces and vice versa.

Hence ans are

Q1 - (c) and (d)

Q2 - (a) and (c)