• Read and write confidence intervals using two different forms: point estimate plus/or minus margin of error (error bound) and interval notation.
  • Calculate and interpret confidence intervals for estimating a population mean and a population proportion.
  • Calculate the margin of error (error bound) using sample statistics.
  • Predict if a confidence interval will become wider or narrower given larger or smaller sample sizes as well as higher or lower confidence levels.
  • Find the point estimate and margin of error (error bound) when given a confidence interval.
  • Estimate the sample size necessary to estimate a population mean.
  • Recognize the difference between the sample mean, x-bar, and the population mean, mu, as well as the difference between the sample standard deviation, s, and standard error of the mean, s/sqrt(n).
  • Find critical values for z_(α/2) and t_(α/2) given a value of α and degrees of freedom.
  • Estimate the sample size necessary to estimate a population proportion.
  • Determine the appropriate null and alternative hypotheses when presented with a problem.
  • Understand and list the assumptions needed to conduct z-tests and t-tests.
  • Determine whether to reject or fail to reject the null hypothesis using the p-value method.
  • Determine if a test is left-tailed, right-tailed, or two-tailed.
  • Calculate test statistics and p-values for hypotheses tests: single proportion and single mean.
  • Conduct hypotheses tests for a single proportion and a single mean.
  • Draw conclusions and make inferences about claims based on hypotheses tests.

Last modified: Sunday, 22 March 2026, 9:54 PM