1: Which of the following statements about the formal hypothesis testing procedure is incorrect? A. The null hypothesis must include a parameter (μ) in its formulation. B. The significance level (α) is the probability of rejecting the null hypothesis when it is true. C. The critical value is computed from sample data to test the null hypothesis. D. The decision rule tells whether to reject or not reject the H0.
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1. Which of the following is true? A. It is impossible to prove the null hypothesis. B. It is always possible to prove the null hypothesis. C. It is possible to prove the null hypothesis under certain conditions. 2. When you set the significance level for a hypothesis test (e.g., =0.05) you are controlling for: A. Type I Error B. Type II Error C. the critical value D. the t-value
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5. Which of the following is true about hypothesis testing? a. Hypothesis testing is not exactly the same as mathematical proof. b. The level of significance does have an impact on the outcome of a hypothesis test. c. Hypothesis testing is a procedure based on sample evidence and probability theory to determine whether the hypothesis is a reasonable statement. d. Options a, b, and c are ALL true. 6. A null hypothesis makes a claim about a __________ a. Population parameter. b. Population mean. c. p-value. d. Sample statistic. 7. The level of significance for a hypothesis test is a. Not always the same value for every hypothesis test. b. Not the same thing as a "critical value." c. The probability of rejecting the null hypothesis when it is false. d. The probability of not rejecting the null hypothesis when it is true.
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State the null hypothesis, $H_{o}$, and the alternative hypothesis, $H_{a},$ that would be used to test the following claims: a. The standard deviation of population $X$ is smaller than the standard deviation of population Y. b. The ratio of the variances of population A over population $B$ is greater than 1. c. The standard deviation of population $Q_{1}$ is at most that of population $\mathrm{Q}_{2}$ d. The variability within population I is more than the variability within population II.
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