Exam 8: Hypothesis Testing I the One Sample Case

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Comparing one- and two-tailed tests (with a constant alpha level and sample size), the probability of rejection will be higher for________.

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B

The research hypothesis (H 1) typically states what the researcher expects to find and________.

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A

Given the same alpha level, the one-tailed test________.

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C

Republicans average 1.4 children while the state as a whole averages 1.7 children. The Z score computed in this test is 0.78 and the alpha level is 0.05. Therefore, the difference in size of family________.

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A sample of people attending a professional football game averages 13.7 years of formal education while the surrounding community averages 12.1. The difference is significant at the .05 level. What could we conclude?

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In a t test of differences between means, increasing sample size will affect________.

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Given that the null hypothesis is actually true, the probability of Type II error is________.

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In order to conduct a test of hypothesis with means or proportions, the sampling distribution must be________.

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Which of the following is NOT an assumption required for a test of hypothesis with a single sample mean?

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The null hypothesis in the one sample case is a statement of________.

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In tests of significance, if the test statistic falls in the critical region, we may conclude that________.

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A researcher selected a sample of 56 former student leaders from a list of graduates of a large university. She discovered that it had taken an average of 4.97 years for these graduates to finish their degrees, with a standard deviation of 1.23. The average for the entire student body is 4.56 years. Is the difference statistically significant? Follow the five-step model and state all important decisions. Make sure that you interpret the results in terms of the original research question.

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If we reject a null hypothesis which is in fact true, we________.

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The records of the state Division of Motor Vehicles reveals that 23% of all drivers have been ticketed at least once. Twenty-five percent of a random sample of older drivers in the state have gotten at least one ticket. This difference has been tested and the researcher has failed to reject the null hypothesis. What can be concluded?

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To conduct a test of hypothesis with a single sample mean, we must assume________.

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The critical region is________.

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The t distribution, compared to the Z distribution, is________.

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If the critical region begins at Z (critical) =±2.56 and the test statistic is - 2.50, we________.

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If the test statistic falls in the critical region, we________.

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In your own words, define and explain each of the following terms and concepts: a. the null hypothesis b. Type I (alpha) error c. Sampling distribution d. One-tailed test

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