code: def test_count_arrow_string_array(any_string_dtype):
      # GH#54751
      pytest.importorskip("pyarrow")
      df = DataFrame(
          {
              "a": [1, 2, 3],
              "b": Series(["a", "b", "a"], dtype=any_string_dtype),
          }
      )
      result = df.groupby("a").count()
      expected = DataFrame({"b": 1}, index=Index([1, 2, 3], name="a"))
      tm.assert_frame_equal(result, expected)
  
imports: from itertools import product
  from string import ascii_lowercase
  import numpy
  import pytest
  from pandas import DataFrame, Index, MultiIndex, Period, Series, Timedelta, Timestamp, date_range
  import pandas._testing
label_desc: Use image node_id 8 for calling a global function with example usage: test_count_arrow_string_array(any_string_dtype) without return types