It is the same as the significance level of the test - often 5%.
No. Rejecting the Null Hypothesis means that there is a high degree of probability that it is not correct. This degree of probability is the critical level that you choose for the test statistic. However, there is still a small probability that the null hypothesis was correct.
An alpha error is another name in statistics for a type I error, rejecting the null hypothesis when the null hypothesis is true.
Rejecting a true null hypothesis.
You should reject the null hypothesis.
Probability of failing to reject a false null hypothesis.
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.
It means that, if the null hypothesis is true, there is still a 1% chance that the outcome is so extreme that the null hypothesis is rejected.
zero. We have a sample from which a statistic is calculated and will challenge our held belief or "status quo" or null hypothesis. Now you present a case where the null hypothesis is true, so the only possible error we could make is to reject the null hypothesis- a type I error. Hypothesis testing generally sets a criteria for the test statistic to reject Ho or fail to reject Ho, so both type 1 and 2 errors are possible.
No. Rejecting the Null Hypothesis means that there is a high degree of probability that it is not correct. This degree of probability is the critical level that you choose for the test statistic. However, there is still a small probability that the null hypothesis was correct.
An alpha error is another name in statistics for a type I error, rejecting the null hypothesis when the null hypothesis is true.
A beta error is another term for a type II error, an instance of accepting the null hypothesis when the null hypothesis is false.
The probability of correctly detecting a false null hypothesis.
Increasing alpha from .01 to .05 will increase the probability of rejecting the null hypothesis when it is true.
You need a null hypothesis first. You then calculate the probability of the observation under the conditions specified by the null hypothesis.
Statistical tests compare the observed (or more extreme) values against what would be expected if the null hypothesis were true. If the probability of the observation is high you would retain the null hypothesis, if the probability is low you reject the null hypothesis. The thresholds for high or low probability are usually set arbitrarily at 5%, 1% etc. Strictly speaking, when rejecting the null hypothesis, you do not accept the alternative hypothesis because it is possible that neither are true and it is the model itself that is wrong.
Probability of failing to reject a false null hypothesis.
You should reject the null hypothesis.