Exam 8: Introduction to Hypothesis Testing

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A sample of n = 16 individuals is selected from a population with μ = 60 and σ = 6 and a treatment is administered to the sample.After treatment, the sample mean is M = 63.What is the value of Cohen's d for this sample?

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Which of the following correctly describes the effect of increasing the alpha level (for example from .01 to .05)?

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Which of the following accurately describes the effect of increasing the alpha level?

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A researcher administers a treatment to a sample from a population with a mean of μ\mu = 60.If the treatment is expected to increase scores and a one-tailed test is used to evaluate the treatment effect, then the null hypothesis states that μ\mu \geq 60.

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Which of the following is an accurate definition for the power of a statistical test?

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The alpha level determines the risk of a Type I error.

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Which of the following accurately describes the effect of increasing the sample size?

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A Type I error occurs when a researcher concludes that a treatment has an effect but, in fact, the treatment has no effect.

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A researcher conducts a hypothesis test to evaluate the effect of a treatment that is expected to increase scores.The hypothesis test produces a z-score of z = 2.37.If the researcher is using a one-tailed test, what is the correct statistical decision?

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The value obtained for Cohen's d is independent of the sample size.

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You can reduce the risk of a Type I error by using a larger sample.

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What is the relationship between the alpha level, the size of the critical region, and the risk of a Type I error?

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What is the consequence of a Type II error?

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A researcher conducts a hypothesis test to evaluate the effect of a treatment.The hypothesis test produces a z-score of z = 2.37.Assuming that the researcher is using a two-tailed test, what decision should be made?

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If other factors are held constant, the larger the size of the treatment effect, the greater the power of the hypothesis test.

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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?

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If the research prediction is that the treatment will decrease scores, then the critical region for a directional test will be in the left?hand tail.

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A researcher administers a treatment to a sample of n = 16 selected from a population with μ\mu = 40 and σ\sigma = 8.If the sample mean after treatment is M = 42, then Cohen's d = 1.00.

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If other factors are held constant, then increasing the sample size will increase the likelihood of rejecting the null hypothesis.

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When is there a risk of a Type II error?

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