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How many types of errors in taking a decision about Ho?
There are two types of errors associated with hypothesis testing. Type I error occurs when the null hypothesis is rejected when it is true. Type II error occurs when the null hypothesis is not rejected when it is false. H0 is referred to as the null hypothesis and Ha (or H1) is referred to as the alternative hypothesis.
How do you eliminate type 1 errors?
I believe you have to design a null hypothesis that is very precise in order to avoid false positives ( rejecting the null hypothesis when it is actually true). Tricky question though!
What is the probability of making a Type II error if the null hypothesis is actually true?
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.
How do you reduce null hypotheses Type 2 errors?
Type II errors are the case of false negatives. In hypothesis testing, we begin with a speculative hypothesis. A type 2 error is created when the test fails to reject the null hypothesis, when the alternative hypothesis is, in reality, true. The null hypothesis can be thought of as the status quo, and the alternative hypothesis is what our experiment is telling us. You can reduce type 2 errors by increasing alpha. However, by increasing alpha, type 1 errors increase, that is to fail to accept the null hypothesis, when the alternative is, in reality, false. Is there any way to reduce both errors? If you increase your sample size (of course with good data), for the same alpha, both will decrease. The understanding of this is very important. It happens with mad cow disease. The tests were very good at identifying that a healthy cow was, in fact,a healthy cow. In thousands of tests, they never had an error. So type 1 errors never occurred, but they had so few cases of sick cows, that it was hard to know if type 2 errors, a cow was sick, but the test showed healthy, ever occurred.
What is Hypothesis Testing of Type I Error?
Rejecting a true null hypothesis.
What is an alpha error?
An alpha error is another name in statistics for a type I error, rejecting the null hypothesis when the null hypothesis is true.
What is a beta error?
A beta error is another term for a type II error, an instance of accepting the null hypothesis when the null hypothesis is false.
What is Hypothesis Testing of Type II Error?
Failing to reject a false null hypothesis.
If a test of hypothesis has a type I error probability of 0.01 it means?
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.
When a researcher fails to reject Null Hypothesis when Null Hypothesis is false he has?
made a Type II error.made a Type II error.made a Type II error.made a Type II error.
If a test of hypothesis has a type 1 error probability 01?
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.
What causes hypothesis to be rejected?
We have two types of hypothesis i.e., Null Hypothesis and Alternative Hypothesis. we take null hypothesis as the same statement given in the problem. Alternative hypothesis is the statement that is complementary to null hypothesis. When our calculated value is less than the tabulated value, we accept null hypothesis otherwise we reject null hypothesis.
