diff --git a/pandas/core/arrays/arrow/array.py b/pandas/core/arrays/arrow/array.py
index 3a3f0b8ce61be..18caee3249d32 100644
--- a/pandas/core/arrays/arrow/array.py
+++ b/pandas/core/arrays/arrow/array.py
@@ -506,6 +506,18 @@ def __len__(self) -> int:
         """
         return len(self._data)
 
+    def __contains__(self, key) -> bool:
+        # https://github.com/pandas-dev/pandas/pull/51307#issuecomment-1426372604
+        if isna(key) and key is not self.dtype.na_value:
+            if self.dtype.kind == "f" and lib.is_float(key) and isna(key):
+                return pc.any(pc.is_nan(self._data)).as_py()
+
+            # e.g. date or timestamp types we do not allow None here to match pd.NA
+            return False
+            # TODO: maybe complex? object?
+
+        return bool(super().__contains__(key))
+
     @property
     def _hasna(self) -> bool:
         return self._data.null_count > 0
diff --git a/pandas/core/arrays/arrow/dtype.py b/pandas/core/arrays/arrow/dtype.py
index 90c86cd6d55ef..331e66698cc35 100644
--- a/pandas/core/arrays/arrow/dtype.py
+++ b/pandas/core/arrays/arrow/dtype.py
@@ -1,9 +1,20 @@
 from __future__ import annotations
 
+from datetime import (
+    date,
+    datetime,
+    time,
+    timedelta,
+)
+from decimal import Decimal
 import re
 
 import numpy as np
 
+from pandas._libs.tslibs import (
+    Timedelta,
+    Timestamp,
+)
 from pandas._typing import (
     TYPE_CHECKING,
     DtypeObj,
@@ -88,9 +99,40 @@ def __repr__(self) -> str:
     @property
     def type(self):
         """
-        Returns pyarrow.DataType.
+        Returns associated scalar type.
         """
-        return type(self.pyarrow_dtype)
+        pa_type = self.pyarrow_dtype
+        if pa.types.is_integer(pa_type):
+            return int
+        elif pa.types.is_floating(pa_type):
+            return float
+        elif pa.types.is_string(pa_type):
+            return str
+        elif pa.types.is_binary(pa_type):
+            return bytes
+        elif pa.types.is_boolean(pa_type):
+            return bool
+        elif pa.types.is_duration(pa_type):
+            if pa_type.unit == "ns":
+                return Timedelta
+            else:
+                return timedelta
+        elif pa.types.is_timestamp(pa_type):
+            if pa_type.unit == "ns":
+                return Timestamp
+            else:
+                return datetime
+        elif pa.types.is_date(pa_type):
+            return date
+        elif pa.types.is_time(pa_type):
+            return time
+        elif pa.types.is_decimal(pa_type):
+            return Decimal
+        elif pa.types.is_null(pa_type):
+            # TODO: None? pd.NA? pa.null?
+            return type(pa_type)
+        else:
+            raise NotImplementedError(pa_type)
 
     @property
     def name(self) -> str:  # type: ignore[override]
diff --git a/pandas/core/internals/blocks.py b/pandas/core/internals/blocks.py
index 60d022a0c7964..55afa95129e83 100644
--- a/pandas/core/internals/blocks.py
+++ b/pandas/core/internals/blocks.py
@@ -15,7 +15,6 @@
 import numpy as np
 
 from pandas._libs import (
-    Timestamp,
     internals as libinternals,
     lib,
     writers,
@@ -63,6 +62,7 @@
     is_string_dtype,
 )
 from pandas.core.dtypes.dtypes import (
+    DatetimeTZDtype,
     ExtensionDtype,
     PandasDtype,
     PeriodDtype,
@@ -2232,9 +2232,8 @@ def get_block_type(dtype: DtypeObj):
     -------
     cls : class, subclass of Block
     """
-    # We use vtype and kind checks because they are much more performant
+    # We use kind checks because it is much more performant
     #  than is_foo_dtype
-    vtype = dtype.type
     kind = dtype.kind
 
     cls: type[Block]
@@ -2242,7 +2241,7 @@ def get_block_type(dtype: DtypeObj):
     if isinstance(dtype, SparseDtype):
         # Need this first(ish) so that Sparse[datetime] is sparse
         cls = ExtensionBlock
-    elif vtype is Timestamp:
+    elif isinstance(dtype, DatetimeTZDtype):
         cls = DatetimeTZBlock
     elif isinstance(dtype, PeriodDtype):
         cls = NDArrayBackedExtensionBlock
diff --git a/pandas/tests/extension/test_arrow.py b/pandas/tests/extension/test_arrow.py
index 681d048f38485..27b30fd6aab6f 100644
--- a/pandas/tests/extension/test_arrow.py
+++ b/pandas/tests/extension/test_arrow.py
@@ -323,39 +323,7 @@ def test_from_sequence_of_strings_pa_array(self, data, request):
 
 
 class TestGetitemTests(base.BaseGetitemTests):
-    def test_getitem_scalar(self, data):
-        # In the base class we expect data.dtype.type; but this (intentionally)
-        #  returns Python scalars or pd.NA
-        pa_type = data._data.type
-        if pa.types.is_integer(pa_type):
-            exp_type = int
-        elif pa.types.is_floating(pa_type):
-            exp_type = float
-        elif pa.types.is_string(pa_type):
-            exp_type = str
-        elif pa.types.is_binary(pa_type):
-            exp_type = bytes
-        elif pa.types.is_boolean(pa_type):
-            exp_type = bool
-        elif pa.types.is_duration(pa_type):
-            exp_type = timedelta
-        elif pa.types.is_timestamp(pa_type):
-            if pa_type.unit == "ns":
-                exp_type = pd.Timestamp
-            else:
-                exp_type = datetime
-        elif pa.types.is_date(pa_type):
-            exp_type = date
-        elif pa.types.is_time(pa_type):
-            exp_type = time
-        else:
-            raise NotImplementedError(data.dtype)
-
-        result = data[0]
-        assert isinstance(result, exp_type), type(result)
-
-        result = pd.Series(data)[0]
-        assert isinstance(result, exp_type), type(result)
+    pass
 
 
 class TestBaseAccumulateTests(base.BaseAccumulateTests):