In your Case, Problem is in your styles.xml, your base theme name is AppBaseTheme. Change it to AppTheme as you can see you have used AppTheme in your Mainfest file.
I have listed all the reasons that may cause class android.support.design.widget.FloatingActionButton. Please read the points carefully.
FAB button is Design Library Cpmponent. Your Activity must extend AppCompatActivity instead of Activity.
Your activity theme also should be appropriate Theme.AppCompat theme. Also FAB requires colorAccent. Make sure you have them inside your styles.xml.
<!-- Base application theme. --> <style name="AppTheme" parent="Base.AppTheme"> <!-- Customize your theme here. --> </style> <style name="Base.AppTheme" parent="Theme.AppCompat.Light.DarkActionBar"> <item name="android:colorPrimary">@color/primary</item> <item name="android:colorPrimaryDark">@color/primary_dark</item> <item name="android:colorAccent">@color/accent</item> </style>Use app:backgroundTint="@color/your_color" instead of android:backgroundTint.
Don't miss out on adding design library inside your project build.gradle file
dependencies { compile 'com.android.support:appcompat-v7:23.1.1' compile 'com.android.support:design:23.1.1' ... }Update Support Library on SDK Manager in Extras > Android Support Repository and Android Support Library
Hope it solves your error.