Some Hypothesis Tests

Some formulas

Handwritten notes, page 1: formulas for one-sample, two-sample and paired t-tests Handwritten notes, page 2: proportion test, the standard Wald confidence interval and why it fails near 0 or 1, with a worked example Handwritten notes, page 3: inconsistent Wald conclusions, oscillation in coverage probability, and the Agresti-Coull method Handwritten notes, page 4: two-proportion z-test formulas

Yang, S, Black, K. Using the standard Wald confidence interval for a population proportion hypothesis test is a common mistake. Teaching Statistics. 2019; 41: 65– 68. https://doi-org.lbs.idm.oclc.org/10.1111/test.12184

Still some questions

Why the statistic for proportion test is normally distributed? (or other distribution)

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