Exam 10: Hypothesis Tests for Proportions, Mean Differences and Proportion Differences

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If we are interested in making the case that the proportion in Population 1 is larger than the proportion in Population 2, and we plan to use the contrary position as the null hypothesis, then the

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You are using independent samples to test whether two population means are equal, with μ\mu 1 = μ\mu 2 as the null hypothesis.If the p-value for the test leads you to reject the null hypothesis at the 5% significance level, it will also lead you to reject the null hypothesis at the 1% significance level.

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In a one-tailed hypothesis test in which the null hypothesis is μ\mu 1 > μ\mu 2, sample sizes were 12 for sample 1 and 16 for sample 2.Which of the following statements is true?

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You are testing the difference between two population means.The sample sizes are small.Under the assumption that the standard deviations of the two populations are equal and using a pooled estimator for the standard deviation, which of the following statements is true?

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In a one-tailed hypothesis test in which the null hypothesis is μ\mu 1 > μ\mu 2, suppose sample results lead you to reject the null hypothesis at the 1% significance level.Which of the following statements must be true?

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For a one-tailed hypothesis test in which the null hypothesis is π\pi > 7and sample size is 150, which of the following statements is true?

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You are using a sample of size 100 to conduct a hypothesis test in which you want to determine whether a certain population proportion π\pi has increased since last year.If the null hypothesis is π\pi < .33 and the test statistic turns out to be 2.13, you should conclude, at the .05 significance level, that the population proportion has, in fact, increased.

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You are using independent samples of size 10 to test whether two population means are equal, with μ\mu 1 = μ\mu 2 as the null hypothesis.If the populations are normal and have equal standard deviations, it would be appropriate to use a pooled sample standard deviation in your test.

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One of the differences between conducting a two-tailed hypothesis test for the difference between two population means versus a one-tailed test is that the value of the test statistic becomes larger.

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You are using a sample of size 120 to conduct a hypothesis test in which you want to determine whether a certain population proportion π\pi has changed since last year.If the null hypothesis is π\pi = .25 and the test statistic turns out to be 1.83, you should conclude, at the .05 significance level, that the population proportion has, in fact, changed.

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In a matched sample design, one uses the average for each pair of data values when building a confidence interval.

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In large sample cases, using a significance level of 5% in a one-tailed test in which the null hypothesis is π\pi 1 < π\pi 2, the decision rule is:

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You are testing the difference between two population means.The pooled standard deviation is only appropriate if the two populations

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For large sample cases, in a two-tailed test of the difference between two population means (significance level = 5%), the decision rule is:

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You are using a sample of size 200 to conduct a hypothesis test in which you want to determine whether a certain population proportion π\pi has decreased since last year.If the null hypothesis is π\pi > .5 and the test statistic turns out to be -1.74, you should conclude, at the .05 significance level, that the population proportion has, in fact, decreased.

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For a hypothesis test involving the difference between two proportions, the pooled sample proportion is a weighted average of the two individual sample proportions.

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You are using independent samples of size 12 each to test whether two population means are equal, with μ\mu 1 = μ\mu 2 as the null hypothesis.If the p-value for the test turns out to be .0113, you should conclude, at the .01 significance level, that the population means are not the equal.

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For a hypothesis test in which the null hypothesis is μ\mu 1 - μ\mu 2 > 0, which of the following statements must be true?

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The positive critical value for a two-tailed hypothesis test of the difference between two population means is larger than for a one-tailed hypothesis test given the same level of significance.

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In a hypothesis test in which the null hypothesis states that the difference between two population proportions is 0, that is, when π\pi 1 = π\pi 2, which of the following occurs?

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