Answer to Question #277126 in Statistics and Probability for NRL

Question

Resistance of acetaminophen

Researchers want to investigate whether frequent use of acetaminophen-based painkillers can lead to resistance. 500 men and women between the ages of 20 and 50 will be recruited as participants who have frequent headaches. Regardless of gender, it is randomly divided into two groups. One group consistently takes painkillers daily and the other only once a week. Each group has been on painkillers for two years, but they don’t know what cycle each other takes. At the end of the study, researchers count the number of people in each group who are drug resistant and no longer effective.

5) Based on your reading of "Why most published research findings are false", what would you do, if you fail to get the result you were expecting? Consider that if you fail to publish an interesting enough result, you might lose fundings, scholarships, or fail to get your degree.

Answer 1

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the two variables are dependent, at the $\alpha=0.05$ significance level.

The corresponding p-value for the test is

$p=\operatorname{Pr}\left(\chi_{1}^{2}>2.354\right)=0.125 .$

The results found above are depicted graphically as follows: