The power of a test is 1 minus the probability of a Type II error.
No....the two are mirror images of each other. Reducing type I would increase type II
The probability is 0.005012, approx.
2%
Accept lower p-values (meaning lower in magnitude; values tending toward zero).--And don't forget that by reducing the probability of getting a type I error, you increase the probability of getting a type II error (inverse relationship).
The power of a test is 1 minus the probability of a Type II error.
No....the two are mirror images of each other. Reducing type I would increase type II
The probability is 0.005012, approx.
If the type 1 error has a probability of 01 = 1, then you will always reject the null hypothesis (false positive) - even when the evidence is wholly consistent with the null hypothesis.
2%
Accept lower p-values (meaning lower in magnitude; values tending toward zero).--And don't forget that by reducing the probability of getting a type I error, you increase the probability of getting a type II error (inverse relationship).
It is the same as the significance level of the test - often 5%.
In statistics, there are two types of errors for hypothesis tests: Type 1 error and Type 2 error. Type 1 error is when the null hypothesis is rejected, but actually true. It is often called alpha. An example of Type 1 error would be a "false positive" for a disease. Type 2 error is when the null hypothesis is not rejected, but actually false. It is often called beta. An example of Type 2 error would be a "false negative" for a disease. Type 1 error and Type 2 error have an inverse relationship. The larger the Type 1 error is, the smaller the Type 2 error is. The smaller the Type 2 error is, the larger the Type 2 error is. Type 1 error and Type 2 error both can be reduced if the sample size is increased.
No, the estimates should become more robust and the power of the test should, therefore, increase.
Probability = 10 is a very serious mistake since the probability of any event can never be greater than 1: so a probability of 10 is obviously a big error.
Theoretical probability of 1 refers to an event that is certain to happen. It has a probability of 1 because it is guaranteed to occur.
The answer will be 1.