When using Skype, many people signed in their accounts, but Skype does not display their online status. There is a tip which will help you solve this problem. Betdownload.com will guide you how to troubleshoot this problem.
Like other chat software such as Yahoo Messenger, MSN Messenger, AOL Messenger, etc., Skype also supports displaying the online status when you sign in your account and the offline status when you sign out. However, for different reasons, your Skype does not display the online status even when you are signing in on the Website.

FIX ERROR "SKYPE DOES NOT DISPLAY THE ONLINE STATUS"
Step 1: Open Skype by clicking on the icon of the utility on Desktop or search and open it on the Start Menu (on the left corner of the screen).
Step 2: Sign in Skype. On the toolbar, select Tools -->Options to set up some parameters.

Step 3: On the Options window, click Privacy --->Privacy settings to set up the privacy.
Check on Allow my online status to be shown on the web to display your online status on the Web.
Click OK to save settings.

Or reversely, if you do not want other people to see your online status even when you are signing in, you just need uncheck on the line above, then click Save.
Wish you success!