Which of the following is true? A level of significance of 5% means that the probability of failing to reject the null hypothesis when it is false is 5% The confidence level and the level of significance always has to be the same In hypothesis testing, it is always assumed that the alternative hypothesis is correct in the population A p-value of 3.25% means that the probability of obtaining a test statistic at least as extreme as was obtained when sampling from a population where the null hypothesis is true is 3.25%
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If a statistical test is carried out at the alpha = 0.05 level of significance, which of the following statements below most accurately describes the probable validity of the conclusion? The probability of accepting the alternative hypothesis when it is indeed true is 0.05. The probability of rejecting the true null hypothesis is 0.95. None of the above. The probability of rejecting the true null hypothesis is 0.05. The probability of rejecting a true null hypothesis is 0.95. The probability of rejecting a null hypothesis when it is in fact false is 0.05.
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Which one of the following statements is true? A. If a hypothesis is rejected at the 5% level of significance, it is also rejected at the 1% level of significance. B. In a 95% confidence interval, 95% of the values could be the value of the population parameter. C. If α = 0.1 and we fail to reject the null hypothesis, the original assumption is accepted at the 10% level of significance. D. Statements about sample statistics are tested through the process of hypothesis testing. E. The sample mean of the variable of interest is always in the middle of the confidence interval of the mean.
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We have given the value obtained for the test statistic, $z,$ in a one-mean z-test. We have also specified whether the test is two tailed, left tailed, or right tailed. Determine the P-value in each case and decide whether, at the $5 \%$ significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. Right-tailed test: a. $z=1.24$ b. $z=-0.69$
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