@@ -248,7 +248,7 @@ binary_resolve_descriptors(struct PyArrayMethodObject_tag *NPY_UNUSED(method),
 {
     PyArray_StringDTypeObject *descr1 = (PyArray_StringDTypeObject *)given_descrs[0];
     PyArray_StringDTypeObject *descr2 = (PyArray_StringDTypeObject *)given_descrs[1];
-    int out_coerce = descr1->coerce && descr1->coerce;
+    int out_coerce = descr1->coerce && descr2->coerce;
     PyObject *out_na_object = NULL;
 
     if (stringdtype_compatible_na(
 
@@ -1820,10 +1820,13 @@ def test_unset_na_coercion():
                      StringDType(na_object=None)]:
         if op_dtype is None:
             op = "2"
+            expected = StringDType(na_object=None)  # coerce defaults to True
         else:
             op = np.array("2", dtype=op_dtype)
+            expected = StringDType(na_object=None, coerce=op_dtype.coerce)
         res = arr + op
         assert_array_equal(res, ["hello2", "world2"])
+        assert res.dtype == expected
 
     # dtype instances with distinct explicitly set NA objects are incompatible
     for op_dtype in [StringDType(na_object=pd_NA), StringDType(na_object="")]:
Original file line number	Diff line number	Diff line change
`@@ -248,7 +248,7 @@ binary_resolve_descriptors(struct PyArrayMethodObject_tag *NPY_UNUSED(method),`
`248`	`248`	`{`
`249`	`249`	`PyArray_StringDTypeObject descr1 = (PyArray_StringDTypeObject )given_descrs[0];`
`250`	`250`	`PyArray_StringDTypeObject descr2 = (PyArray_StringDTypeObject )given_descrs[1];`
`251`		`- int out_coerce = descr1->coerce && descr1->coerce;`
	`251`	`+ int out_coerce = descr1->coerce && descr2->coerce;`
`252`	`252`	`PyObject *out_na_object = NULL;`
`253`	`253`
`254`	`254`	`if (stringdtype_compatible_na(`