Inference. The student applies the mathematical process standards to make inferences and justify conclusions from statistical studies.

S.6.AExplain how a sample statistic and a confidence level are used in the construction of a confidence interval.S.6.BExplain how changes in the sample size, confidence level, and standard deviation affect the margin of error of a confidence interval.S.6.CCalculate a confidence interval for the mean of a normally distributed population with a known standard deviation.S.6.DCalculate a confidence interval for a population proportion.S.6.EInterpret confidence intervals for a population parameter, including confidence intervals from media or statistical reports.S.6.FExplain how a sample statistic provides evidence against a claim about a population parameter when using a hypothesis test.S.6.GConstruct null and alternative hypothesis statements about a population parameter.S.6.HExplain the meaning of the p-value in relation to the significance level in providing evidence to reject or fail to reject the null hypothesis in the context of the situation.S.6.IInterpret the results of a hypothesis test using technology-generated results such as large sample tests for proportion, mean, difference between two proportions, and difference between two independent means.S.6.JDescribe the potential impact of Type I and Type II Errors.
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