I don't understand when to use which statistics. Please explain.
So I have the customer data with columns like registration and tenure. Registration column values are 'yes/no' and tenure is a continuous variable with number of months they are with us.
Total number of customers - 500k Registered ones - 110k Non-Registered ones - 390k
My NULL Hypothesis - Registration has no effect on tenure
Alternate Hypothesis - Registration has positive effect on tenure (In other words,registered customers are staying with us for long)
I did descriptive statistics and compared the mean of both groups (registered and non registered), it shows that the registration has negative effect on tenure. Mean or median of registered customers is less than non registered ones. However, I am not sure if I can confirm the negative effect. Questions are,
- Can i trust the descriptive statistics in this scenario?
- What I have is sample data or population? I have all our customers.
- Distribution behind the tenure is not normal, it looks like the below one. If I have to do inferential statistics to test my hypothesis. what tests i should consider?
Registration was not always an option for the customers. We started this few years ago and so the mean of registered customers is lower than the non registered ones. Is there any other way to look at this problem to find the loyalty of customers?