True/False. A confidence interval is calculated from sample data and captures the value of the parameter being estimated with a certain probability. Provide reasoning for answer.
True/False. In a right-tailed hypothesis testing, if the value of the test statistic exceeds the cutoff for the rejection region, the p-value must be bigger than the significance level. Provide reasoning for answer.
True/False. The statement that the null hypothesis can be rejected at the 3% significance level means that the probability of incorrectly rejecting the null hypothesis is 3% or less. Provide reasoning for answer.
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