Standard +0.3 This is a straightforward one-proportion hypothesis test with clear parameters given. Students must set up H₀: p=0.32 vs H₁: p<0.32, calculate the test statistic using normal approximation, and compare to the critical value at 2.5% level. While it requires multiple steps (hypotheses, test statistic calculation, conclusion), all techniques are standard and the question provides all necessary information explicitly, making it slightly easier than average.
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. [7]
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. [7]
\hfill \mbox{\textit{OCR H240/02 2018 Q9 [7]}}