What types of error can occur when making decisions based on test of hypothesis? Be specific.
Question
What types of error can occur when making decisions based on test of hypothesis? Be specific.
Solution
When making decisions based on tests of hypothesis, two types of errors can occur:
-
Type I Error (False Positive): This occurs when we reject the null hypothesis even though it is true. In other words, we are seeing a difference when in fact there is none. The probability of making a Type I error is denoted by alpha (α), which is the level of significance you set for your hypothesis test.
-
Type II Error (False Negative): This occurs when we fail to reject the null hypothesis when it is actually false. In other words, we are not seeing a difference when in fact there is one. The probability of making a Type II error is denoted by beta (β), and 1-β is called the power of the test.
The likelihood of these errors occurring can be influenced by several factors, including the sample size, the variance in the data, and the significance level chosen for the test.
Similar Questions
Potential errors relative to Hypothesis testing are referred to as Type I error and Type II error. Group of answer choicesTrueFalse
A hypothesis test is completed and we have sufficient evidence that a certain population mean is more than 215. Suppose that in reality the population mean is more than 215. Determine if a correct decision has been made. If an error has been made, indicate which type of error it is.
When is there a risk of a Type II error?Group of answer choicesWhenever H0 is rejectedWhenever H1 is rejectedThe risk of a Type II error is independent of the decision from a hypothesis test.Whenever the decision is "fail to reject H0"
Hypothesis testing is based ona) minimizing the type I error b) minimizing the type II errorc) minimizing the sum of type I and type II errorsd) none of these
Which one of the following statements about the Type I error of hypothesis testing is wrong? a. It is closely related to the significance level of the test. b. It means that we may fail to reject the null hypothesis H0 when H1 is true. c. It means that we may reject the null hypothesis H0 when H0 is actually true. d. Researchers can control the probability of Type I error.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.