code: def test_match_na_kwarg(any_string_dtype):
      # GH #6609
      s = Series(["a", "b", np.nan], dtype=any_string_dtype)
  
      result = s.str.match("a", na=False)
      expected_dtype = (
          np.bool_
          if any_string_dtype in object_pyarrow_numpy
          else "boolean"
      )
      expected = Series([True, False, False], dtype=expected_dtype)
      tm.assert_series_equal(result, expected)
  
      result = s.str.match("a")
      expected_dtype = (
          "object"
          if any_string_dtype in object_pyarrow_numpy
          else "boolean"
      )
      expected = Series([True, False, np.nan], dtype=expected_dtype)
      tm.assert_series_equal(result, expected)
  
imports: from datetime import datetime
  import re
  import numpy
  import pytest
  from pandas.errors import PerformanceWarning
  import pandas.util._test_decorators
  import pandas
  from pandas import Series, _testing
  from pandas.tests.strings import _convert_na_value, object_pyarrow_numpy
label_desc: Use image node_id 34 for calling a global function with example usage: test_match_na_kwarg(any_string_dtype) without return types