diff --git a/pandas/core/arrays/string_arrow.py b/pandas/core/arrays/string_arrow.py
index a6838fbc73be9..b643ce3eff6e7 100644
--- a/pandas/core/arrays/string_arrow.py
+++ b/pandas/core/arrays/string_arrow.py
@@ -50,8 +50,6 @@
 
 
 if TYPE_CHECKING:
-    from collections.abc import Sequence
-
     from pandas._typing import (
         Dtype,
         Scalar,
@@ -339,13 +337,19 @@ def _str_startswith(self, pat: str, na=None):
         result = pc.starts_with(self._pa_array, pattern=pat)
         if not isna(na):
             result = result.fill_null(na)
-        return self._result_converter(result)
+        result = self._result_converter(result)
+        if not isna(na):
+            result[isna(result)] = bool(na)
+        return result
 
     def _str_endswith(self, pat: str, na=None):
         result = pc.ends_with(self._pa_array, pattern=pat)
         if not isna(na):
             result = result.fill_null(na)
-        return self._result_converter(result)
+        result = self._result_converter(result)
+        if not isna(na):
+            result[isna(result)] = bool(na)
+        return result
 
     def _str_replace(
         self,
@@ -364,12 +368,6 @@ def _str_replace(
         result = func(self._pa_array, pattern=pat, replacement=repl, max_replacements=n)
         return type(self)(result)
 
-    def _str_repeat(self, repeats: int | Sequence[int]):
-        if not isinstance(repeats, int):
-            return super()._str_repeat(repeats)
-        else:
-            return type(self)(pc.binary_repeat(self._pa_array, repeats))
-
     def _str_match(
         self, pat: str, case: bool = True, flags: int = 0, na: Scalar | None = None
     ):
@@ -384,19 +382,6 @@ def _str_fullmatch(
             pat = f"{pat}$"
         return self._str_match(pat, case, flags, na)
 
-    def _str_slice(
-        self, start: int | None = None, stop: int | None = None, step: int | None = None
-    ):
-        if stop is None:
-            return super()._str_slice(start, stop, step)
-        if start is None:
-            start = 0
-        if step is None:
-            step = 1
-        return type(self)(
-            pc.utf8_slice_codeunits(self._pa_array, start=start, stop=stop, step=step)
-        )
-
     def _str_isalnum(self):
         result = pc.utf8_is_alnum(self._pa_array)
         return self._result_converter(result)
@@ -609,4 +594,4 @@ def _reduce(
                 name, skipna=skipna, keepdims=keepdims, **kwargs
             )
         else:
-            return super()._reduce(name, skipna=skipna, keepdims=keepdims, **kwargs)
+            return super()._reduce(name, skipna=skipna, keepdims=keepdims, **kwargs)
\ No newline at end of file