please answer the questions. below and explain. thank you .

Suppose that you will carry out a hypothesis test at significance level 0.01. If the sample size is 55, the probability of a type I error will be lower than if you carry out the same hypothesis test with a sample size of 40.

a. true

b. false

Suppose that you will carry out a hypothesis test at significance level 0.01. If the sample size is 55, the probability of a type II error will be lower than if you carry out the same hypothesis test with a sample size of 40.

a.true

b.false

Suppose that you will carry out a hypothesis test at significance level 0.01. If the sample size is 55, the power of your test will be lower than if you carry out the same hypothesis test with a sample size of 40.

a.true

b.false.

The smaller the significance level, the smaller the probability of a type I error, but the larger the probability of the type II error, in general.

a.true

b.false.