Style.xml 에 스타일 지정해주고 그 스타일로 설정해 주면 에러가 풀리네요.
/* style.xml
/**/
<resources>
<style name="AppTheme" parent="Theme.AppCompat.Light.DarkActionBar">
<item name="colorPrimary">@color/primary</item>
<item name="colorPrimaryDark">@color/primary_dark</item>
<item name="colorAccent">@color/accent</item>
</style>
<style name="MyCustomTabLayout" parent="Widget.Design.TabLayout">
<item name="tabIndicatorColor">@color/accent</item>
</style>
</resources>
/* activity_main.xml
/**/
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
xmlns:app="http://schemas.android.com/apk/res-auto"
android:layout_width="match_parent"
android:layout_height="match_parent"
android:orientation="vertical">
<android.support.design.widget.TabLayout
android:id="@+id/sliding_tabs"
android:layout_width="match_parent"
android:layout_height="wrap_content"
style="@style/MyCustomTabLayout"
app:tabMode="scrollable" />
<android.support.v4.view.ViewPager
android:id="@+id/viewpager"
android:layout_width="match_parent"
android:layout_height="0px"
android:layout_weight="1"
android:background="@android:color/white" />
</LinearLayout>
참고 사이트:
http://stackoverflow.com/questions/31712563/error-inflating-class-android-support-design-widget-tablayout
https://code.google.com/p/android/issues/detail?id=175582