Researchers want to test the effectiveness of a new pain med

Researchers want to test the effectiveness of a new pain medication. Four hundred people were recruited to participate in the clinical trial. In clinical testing, 55 out of 239 people taking the medication reported pain symptoms. Of the other 161 people receiving a placebo, 124 reported pain symptoms.Combining the two samples together, what is the overall proportion of those who reported pain symptoms among all participants?

Solution

overall, we have (55+124)/(239+161) = 0.4475 ~ = 0.45