The probability is 0.005012, approx.
2%
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
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).
In some cases a choice of tests may be available; some tests are more powerful than others.Use a larger sample.There is a trade-off between Type I and Type II errors so you can always reduce the Type I error by allowing the Type II error to increase.
2%
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
Yes.
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).
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.
In some cases a choice of tests may be available; some tests are more powerful than others.Use a larger sample.There is a trade-off between Type I and Type II errors so you can always reduce the Type I error by allowing the Type II error to increase.
It is the same as the significance level of the test - often 5%.
The p value for rejecting an hypothesis is more closely related to the type of errors and their consequences. The p value is not determined by the chi square - or any other - test but by the impact of the decision made on the basis of the test. The two types of errors to be considered are: what is the probability that you reject the null hypothesis when it is actually true (type I error), and what is the probability that you accept the null hypothesis when, in fact, it is false (type I error).. Reducing one type of error increase the other and there is a balance to be struck between the two. This balance will be influenced by the costs associated with making the wrong error. In real life, the effects (costs/benefits) of decisions are very asymmetrical.
made a Type II error.made a Type II error.made a Type II error.made a Type II error.
It is the first letter of the Greek alphabet which can be used, in geometry or algebra, to represent angles. In probability it can be used to represent a Type I error.
No, the estimates should become more robust and the power of the test should, therefore, increase.