If you want to watch Bizversity's business education videos on a big screen and have an internet enabled television, you can watch via Apple TV or Chromecast.
To watch your playlist on your big screen, just go to the app store on your Apple TV, search for Bizversity and download the app. Login with the same user name and password you use for mobile app and you are in!
Make sure you have set up your playlist in the Bizversity app on your iPhone first.
Watch videos on your big screen by streaming from your Android device to Chromecast.
Airplay from the app to a Macbook or similar is not possbile as it is not supported by Apple. However, there are some paid third party software that claim to be able to do this for you. They can be found by Googling 'Airplay to Mac'.