Non Parametric Hypothesis Testing Question?

#1
I actually have 2 general questions I'd like to ask here:

1) If I'm taking a poll and I ask every person, 'How many days did you exercise last month?'. The answer to this is a discrete variable, correct? Just want to make sure.

2) The actual question - See the distribution below. I performed a non parametric test (Krusal Wallis) where the count of instances for 3 groups are plotted. The number of days, as mentioned above, are along the x-axis. The test resulted in a p-value of 0.8. Which is surprising to me because the distributions look almost identical. And maybe this is right and I can reject the null that the distributions aren't equal, but I want to make sure. I guess I'm also interested in how the P-Value is actually calculated here. Thanks!

Screen Shot 2019-10-22 at 11.38.51 PM.png
 

Karabiner

TS Contributor
#2
p = 0.8 means p > 0.05. Conventionally, you reject a Null hypothesis if p < 0.05.
Therefore, the Null is not rejected here (although I do not know how the Kruskal-Wallis
is calculated with repeated measures).

With kind regards

Karabiner