If you want to show it as a full screen popup, then you don't even need an xml layout. Here's how do do it in Kotlin.
val inputArray: Array<String> = arrayOf("Item 1","Item 2")
val alt_bld = AlertDialog.Builder(context);
alt_bld.setTitle("Items:")
alt_bld.setSingleChoiceItems(inputArray, -1) { dialog, which ->
if(which == 0){
//Item 1 Selected
}
else if(which == 1){
//Item 2 Selected
}
dialog.dismiss();
}
val alert11 = alt_bld.create()
alert11.show()