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
Question
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
Solution
A likely outcome for a hypothesis test evaluating a treatment with a very small effect would be a Type II error. This type of error occurs when the null hypothesis is not rejected when it should be, meaning the test fails to detect the treatment's effect.
Similar Questions
A researcher administers a treatment to a sample of participants selected from a population with µ = 80. If a hypothesis test is used to evaluate the effect of the treatment, which combination of factors is most likely to result in rejecting the null hypothesis?Group of answer choicesA sample mean much different than 80 with α = .05A sample mean near 80 with α = .05A sample mean near 80 with α = .01A sample mean much different than 80 with α = .01
If the outcome resulted to the rejection of the null hypothesis, it said to be statistically significant.Select one:TrueFalse
The error of rejecting a true null hypothesis is ____.Group of answer choicesa Type I errora Type II erroreither type I and Type II error, depending on the situationcommitted when not enough information is available
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
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 very different from 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 fail to reject the null hypothesis.
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