In: Statistics and Probability
The conventional treatment for patients suffering from hypertension was found to be effective in 80% of all cases. A new treatment was tested on a sample of 400 patients suffering from hypertension and it was found to be effective in 340 of them.
Undertake an appropriate hypothesis test to determine if the new treatment is more effective than the conventional treatment (Note: You are expected to undertake perform tests at two levels.)
In the context of the above test, explain the meaning of Type I and Type II errors.