Answer
P-value $\gtα$. Do no reject the null hypothesis.
There is not enough evidence to conclude that the median amount of bacteria in carpeted rooms is greater than the median amount of bacteria in uncarpeted rooms.
Work Step by Step
$H_0: M_{Carpeted}=M_{Uncarpeted}$ versus $H_1: M_{Carpeted}\gt M_{Uncarpeted}$
In MINITAB, enter the Carpeted Rooms values in C1 and the Uncarpeted Rooms values in C2.
Select Stat -> Nonparametrics -> Mann-Whitney
In "First Sample" enter C1 and in "Second Sample" enter C2. In "Confidence Level" enter 95. In "Alternative"
P-value $=0.264\gtα=0.05$
