A chemist for a pharmaceutical company wants to determine whether the median reaction time for a newly developed antacid is less than 12 minutes. The chemist measures the reaction time for 16 samples of the antacid.
The chemist performs a 1-sample Wilcoxon test to determine whether the median reaction time is less than 12 minutes.
Interpret the results
The null hypothesis states that the median reaction time is 12 minutes. Because the p-value is approximately 0.23, which is greater than the significance level of 0.05, the chemist fails to reject the null hypothesis and cannot conclude that the median reaction time is less than 12 minutes.
H₀: η = 12
H₁: η < 12