Luiggi is correct in the comments, the stacktrace provides all the info you need about the error. Particularly this line:
22:34:29.617: E/AndroidRuntime(382): Caused by: java.lang.ClassCastException: android.widget.ImageButton cannot be cast to android.widget.Button
Somewhere in your OnCreate method you are trying to cast an ImageButton as a Button, this is invalid. According to the Android Developer Docs, ImageButton extends ImageView, not Button. Thus, a ClassCastException is being thrown because you are trying to turn one thing into something that it is not.
Take a look at your activity_quiz.xml file and see which view is an ImageButton. You'll need to update its type in your activity to ImageButton to fix this issue.
Good luck with Android Development, it can be pretty fun! :)