Exam 8: Introduction to Hypothesis Testing

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If the sample data are in the critical region with α = .01,then the same sample data would still be in the critical region if α were changed to .05.

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The null hypothesis is stated in terms of the population,even though the data come from a sample.

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Which of the following accurately describes a hypothesis test?​

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One of the simplest and most direct methods for measuring effect size is Cohen's d.

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

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A significant treatment effect does not necessarily indicate a large treatment effect.

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What is the consequence of a Type II error?​

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In a research report,the notation p < .05 indicates that the probability of a Type I error is less than .05.

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If a treatment has a very small effect,then what is a likely outcome for a hypothesis test evaluating the treatment?​

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If α is held constant at .05,what is the impact of changing the sample size on the critical region and the risk of a Type I error?​

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A research report includes the statement,z = 2.13,p < .05.For this hypothesis test,the used null hypothesis is rejected using an alpha level of α = .05.

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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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Which of the following is an accurate definition of a Type II error?​​

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Some researchers claim that herbal supplements such as ginseng or ginkgo biloba enhance human memory.To test this claim,a researcher selects a sample of n = 25 college students.Each student is given a ginkgo biloba supplement daily for six weeks and then all the participants are given a standardized memory test.For the population,scores on the test are normally distributed with μ = 70 and σ = 15.The sample of n = 25 students had a mean score of M = 75. a. Are the data sufficient to that the herb has a significant effect on memory? Use a two-tailed test with α = .05. b. Compute Cohen's d for this study.

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If the sample data are in the critical region with α = .05,then the same sample data would still be in the critical region if α were changed to .01.

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A researcher is testing the effectiveness of a new herbal supplement that claims to improve physical fitness.A sample of n = 16 college students is obtained and each student takes the supplement daily for six weeks.At the end of the 6-week period,each student is given a standardized fitness test and the average score for the sample is M = 39.For the general population of college students,the distribution of test scores is normal with a mean of µ = 35 and a standard deviation of σ = 12.Do students taking the supplement have significantly better fitness scores? Use a one-tailed test with α = .05.

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A researcher administers a treatment to a sample from a population with a mean of m = 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 m 60.

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A researcher administers a treatment to a sample of participants selected from a population with µ = 80.If the researcher obtains a sample mean of M = 88,given the same alpha level,which combination of factors is most likely to result in rejecting the null hypothesis?​

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

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Which of the following accurately describes the critical region?​

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