Another test

pandas/tests/extension/test_arrow.py

@@ -970,7 +970,11 @@ def test_arith_series_with_scalar(self, data, all_arithmetic_operators, request)
         elif all_arithmetic_operators in ("__rmul__", "__mul__") and (
             pa.types.is_binary(pa_dtype) or pa.types.is_string(pa_dtype)
         ):
-            pytest.skip("Cannot multiply strings by a string")
+            request.applymarker(
+                pytest.mark.xfail(
+                    raises=TypeError, reason="Can only string multiply by an integer."
+                )
+            )
 
         mark = self._get_arith_xfail_marker(all_arithmetic_operators, pa_dtype)
         if mark is not None:
@@ -985,6 +989,14 @@ def test_arith_frame_with_scalar(self, data, all_arithmetic_operators, request):
             pa.types.is_string(pa_dtype) or pa.types.is_binary(pa_dtype)
         ):
             pytest.skip("Skip testing Python string formatting")
+        elif all_arithmetic_operators in ("__rmul__", "__mul__") and (
+            pa.types.is_binary(pa_dtype) or pa.types.is_string(pa_dtype)
+        ):
+            request.applymarker(
+                pytest.mark.xfail(
+                    raises=TypeError, reason="Can only string multiply by an integer."
+                )
+            )
 
         mark = self._get_arith_xfail_marker(all_arithmetic_operators, pa_dtype)
         if mark is not None: