OCR Stats 1 2018 December — Question 9

Exam BoardOCR
ModuleStats 1 (Statistics 1)
Year2018
SessionDecember
TopicHypothesis test of binomial distributions
TypePerform one-tailed hypothesis test

9 Research has shown that drug A is effective in \(32 \%\) of patients with a certain disease. In a trial, drug B is given to a random sample of 1000 patients with the disease, and it is found that the drug is effective in 290 of these patients. Test at the \(2.5 \%\) significance level whether there is evidence that drug B is effective in a lower proportion of patients than drug A .