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In order to control both Type I and Type II errors in a statistical test for a population mean, one must: |
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determine a sufficiently large sample size based for the desired α and β values |
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If an estimator has the property that, the larger the sample size, the more likely it is that the estimate will be close to the population characteristic being estimated, that estimator is said to be: |
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The precision of an interval estimator for a given confidence coefficient is indicated by: |
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the width of the confidence interval |
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For testing hypotheses concerning the difference of two population means, one cannot just compare the two associated sample means because |
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the sameple means may be different even thouhg the population means are equal due to sampling error |
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A statistical test is always performed under the assumption that the ____ hypothesis is true. |
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the probability of getting the resulting value of the test statistic that is found, or one more rare, if, in fact, the null hypothesis is true |
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the distribution of the test statistic if, in fact, the null hypothesis is true |
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The significance level (α) |
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in statistical hypothesis testing, it is the definition of a rare event |
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Defining the probability of a rare event and the probability of making a Type I error should be performed ______ conducting a statistical hypothesis test. |
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The ______ of an estimator is reflected in the width of a confidence interval determined from the estimator and its sampling distribution. |
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For a _______, both the probability of a Type I error and the probability of making a Type II error, cannot be simultaneously decreased. |
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One can simultaneously ______ the width of a confidence interval and ______ the confidence level. |
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For a fixed value of α, increasing the ________ reduces the probability of making a Type II error. |
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In hypotheses testing, whatever you're trying to support going in the ________ hypothese. |
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To reject the null hypothesis, our p-value must be less than _____. |
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Plots the quantiles of the data against quantiles of normal distribution. You want a straight line. However, if you do not get a straight line, this means the distribution is NOT normal, which means our results of the data concerning the hypotheses may be invalid. |
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-Rejecting Ho when you should not -This happens when you get an unrepresented sample |
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Fail to reject Ho when you should have rejected it |
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For a fixed sample size, _____ and _____ are inversely proportionate. |
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Having a smaller sample size decreases the likelihood of rejecting Ho, but increases the likelihood of making a ______. |
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