Exam 19: Inferential Statistics

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Compare and contrast what is meant by probability value and significance level.

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Probability value is a characteristic of a statistic computed on a sample of participants. Significance level is cut-off level that researchers use to decide whether to reject the null hypothesis or not. In the second step of hypothesis testing, the researcher establishes the significance level. In educational research, this value is typically set at .05. This means that researchers are willing to accept the fact that the sample result would occur only 5% of the time or less. In the third step in hypothesis testing, the researcher analyzes her data and obtains probability values. Probability values represent the probability of the observed result or the statistical analysis or a more extreme value, if the null hypothesis is true. In the fourth step of hypothesis testing, the significance level and probability values are compared. If the significance level is larger than the probability value, the null hypothesis is rejected. If the significance level is smaller than the probability value, the null hypothesis is retained.

A range of numbers inferred from the sample that has a certain probability or chance of including the population parameter is known as the:

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A

When we calculate a single 99% confidence interval, we know that 99% of the time, this interval will capture the true population parameter.

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Which of the following is a directional alternative hypothesis?

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Most researchers consider an observed significance level of .05 or less to be small enough to reject the null hypothesis and conclude that the finding is statistically significant.

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Nora's results were statistically significant so they must also be practically significant.

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The likelihood of rejecting the null hypothesis when it is false is known as:

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A numeric characteristic of a sample is a ______________ whereas a numerical characteristic of a population is a _______________.

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How would you write a nondirectional alternative hypothesis for the following research question: Do education, arts and sciences, and business students have different starting incomes?

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The probability value is an effect size indicator.

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A researcher does a study and reports that the statistic she calculated has a p <.05. What does this statement mean?

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Which of the following is not an effect size indicator?

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Dr. Harris' hypothesis was that students attending an urban school would have higher achievement test scores than children attending suburban or rural schools. This is an example of a nondirectional alternative hypothesis.

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If a researcher concludes that the confidence interval is 55% plus or minus 5%, then which of the following is true?

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The alpha level is set by the researcher rather than being determined by the data.

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If you reject the null hypothesis, which of the following should you avoid?

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Explain the difference between a sample and a population.

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A researcher is interested in doing a study comparing the effectiveness of two different approaches to teaching spelling. One approach is phonics-based, and the other is not. She randomly assigns 30 first grade children to the phonics-based approach and 30 children to the other approach. Her dependent variable is the number of words the children spell correctly on a 100-word spelling test. In order to compare the groups, what inferential test should she use?

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Assume that the null hypothesis says a person is "innocent." What is the problem when an innocent person is found guilty?

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Provide the definition of sampling distribution.

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