TEKS: Chapter 111. Mathematics See All Teacher Resources
111.47.c.6
(6) Inference. The student applies the mathematical process standards to make inferences and justify conclusions from statistical studies. The student is expected to:
- (A) explain how a sample statistic and a confidence level are used in the construction of a confidence interval;
- (B) explain how changes in the sample size, confidence level, and standard deviation affect the margin of error of a confidence interval;
- (C) calculate a confidence interval for the mean of a normally distributed population with a known standard deviation;
- (D) calculate a confidence interval for a population proportion;
- (E) interpret confidence intervals for a population parameter, including confidence intervals from media or statistical reports;
- (F) explain how a sample statistic provides evidence against a claim about a population parameter when using a hypothesis test;
- (G) construct null and alternative hypothesis statements about a population parameter;
- (H) explain 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;
- (I) interpret 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; and
- (J) describe the potential impact of Type I and Type II Errors.