Exam 9: Hypothesis Testing II: the Two-Sample Case

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Samples of Republicans and Democrats have been tested for their level of support for welfare reform and the null hypothesis has been rejected.What may we conclude?

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Random samples of 1546 men and 1678 women have been given a scale that measures support of legal abortion.Men average 12.45 and women average 12.46 and the difference is significant at the 0.05 level.What can we conclude?

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When is the t distribution used instead of the Z distribution to test the significance of the difference between two sample means?

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Very large random samples of Catholics and Protestants have been questioned about their opinions on cohabitation.Forty-six percent of the Protestant and 47% of the Catholics approve of males and females living together without being married.The difference has been tested and found to be statistically significant.What is the most reasonable conclusion?

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When testing for the significance of the difference between two sample means,which parameters must be estimated with sample values?

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From a university population,random samples of 145 men and 237 women have been asked if they have ever cheated in a college class.8% of the men and 6% of the women said that they have.What is the appropriate test to assess the significance of this difference?

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In the two sample case,the null hypothesis is always about the difference in the

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When conducting hypothesis tests for two sample means,the test statistic is

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When testing for the significance of the difference between two sample means,we must first estimate ____ before we can compute the test statistic.

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Samples of Republicans and Democrats have been tested for their level of support for a new immigration policy.The test statistic is 0.54 and the critical region begins at ±\pm 1.96.What may we conclude?

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When testing for the significance of the difference between two sample means,which of the following is almost always unknown?

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Random samples of men and women have been given a scale that measures their support for gun control.Men average 10.2 with standard deviation of 5.3.Women also average 10.2 but their standard deviation is 1.8.How could these results be dealt with appropriately?

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A sample of students attending a large university has been selected.Is there a statistically significant difference between Liberal Arts majors and other students on average number of books (other than those required by course work)read per year? Use the five step model and write a sentence or two interpreting your results. Liberal Ants Other =16.2 =13.7 =2.3 =9.0 =236 =321

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When testing the significance of the difference between two sample proportions,the null hypothesis is

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When random samples are drawn so that the selection of a case for one sample has no effect on the selection of cases for another sample,the samples are

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Samples from two high schools are being tested for the difference in their average levels of prejudice.One sample contains 39 respondents and the other sample contains 47 respondents.The appropriate sampling distribution is the

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When is the t distribution used instead of the Z distribution to test the significance of the difference between two sample proportions?

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When conducting hypothesis tests for two sample means,the term m1 - m2 in the numerator of the formula reduces to zero because

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The larger the sample size,the

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The lower the alpha level,

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