Even if a treatment has no effect, it is still possible to obtain an extreme sample mean that is very different from the population mean. What outcome is likely if this happens?Group of answer choicesCorrectly reject H0.Correctly fail to reject H0.Fail to reject H0 and make a Type II error.Reject H0 and make a Type I error.
Question
Even if a treatment has no effect, it is still possible to obtain an extreme sample mean that is very different from the population mean. What outcome is likely if this happens?Group of answer choicesCorrectly reject H0.Correctly fail to reject H0.Fail to reject H0 and make a Type II error.Reject H0 and make a Type I error.
Solution
If a treatment has no effect, but an extreme sample mean that is very different from the population mean is obtained, it is likely that you would "Reject H0 and make a Type I error." This is because a Type I error occurs when the null hypothesis (H0) is true, but is rejected. It is asserting something has happened when in fact it hasn't. In this case, you would be incorrectly concluding that the treatment has an effect.
Similar Questions
A sample of n = 25 individuals is selected from a population with µ = 80 and a treatment is administered to the sample. What is expected if the treatment has no effect?Group of answer choicesThe sample mean should be close to 80 and should lead you to reject the null hypothesis.The sample mean should be close 80 and should lead you to fail to reject the null hypothesis.The sample mean should be very different from 80 and should lead you to reject the null hypothesis.The sample mean should be very different from 80 and should lead you to fail to reject the null hypothesis.
If a treatment has a very small effect, then what is a likely outcome for a hypothesis test evaluating the treatment?Group of answer choicesA Type II errorCorrectly reject the null hypothesisA Type I errorCorrectly fail to reject the null hypothesis
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"
In a one-tail test for the population mean, if the null hypothesis is not rejected when the alternative hypothesis is true, a Type I error is committed.Group of answer choicesTrueFalse
What is the consequence of a Type I error?Group of answer choicesConcluding that a treatment has no effect when it really has no effectConcluding that a treatment has no effect when it really doesConcluding that a treatment has an effect when it really doesConcluding that a treatment has an effect when it really has no effect
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.