<android.support.design.widget.TextInputLayout
            android:id="@+id/input_layout_provider"
            android:layout_width="match_parent"
            android:layout_height="wrap_content">

            <android.support.v7.widget.AppCompatCheckBox
                android:id="@+id/input_chk_provider"
                android:layout_width="wrap_content"
                android:layout_height="wrap_content"
                android:checked="false"
                android:duplicateParentState="false"
                android:text="@string/user_type_provider" />
        </android.support.design.widget.TextInputLayout>

        <Button
            android:id="@+id/btn_signup"
            android:layout_width="match_parent"
            android:layout_height="wrap_content"
            android:text="@string/btn_sing_up"
            android:background="@color/ic_launcher_background"
            android:layout_marginTop="40dp"
            android:textColor="@android:color/white"/>

        <Button
            android:id="@+id/btn_provider"
            android:layout_width="match_parent"
            android:layout_height="wrap_content"
            android:text="@string/btn_provider_dtl"
            android:background="@color/ic_launcher_background"
            android:layout_marginTop="40dp"
            android:textColor="@android:color/white"/>

checkBox.setOnCheckedChangeListener(new OnCheckedChangeListener() {

        @Override
        public void onCheckedChanged(CompoundButton buttonView, boolean isChecked) {
            if(isChecked) {
                btn1.setVisibility(View.GONE);
                btn2.setVisibility(View.VISIBLE);
            } else {
                btn1.setVisibility(View.VISIBLE);
                btn2.setVisibility(View.GONE);
            }
    });

CheckBox checkBox = (CheckBox) findViewById(R.id.check1);
Button yourButton = (Button) findViewById(R.id.btn1);

checkBox.setOnCheckedChangeListener(new OnCheckedChangeListener() {

   @Override
   public void onCheckedChanged(CompoundButton button, boolean isChecked) {
      if(isChecked){
         yourButton.setVisibility(View.VISIBLE);
      } else {
         yourButton.setVisibility(View.INVISIBLE);
      }
   }

});

View.GONE
View.VISIBLE
View.INVISIBLE