Hypothesis (Significance) Tests About a Proportion

Example 1 The standard treatment for a disease works in 0.675 of all patients. A new treatment is proposed. Is it better? (The scientists who created it claim it is. You – as an advocate for a patient or sales personnel for the company that eventually would market it – must be more skeptical. Where’s the data?) An initial clinical trial of n = 100 patients (of similar general health) is conducted: 77 people are cured. Assume the selection of patients is random. Test appropriate hypotheses at the 1% significance level.