Fix aiohttp instrumentors' readmes (open-telemetry#3902)

* Fix aiohttp instrumentor readmes

* Changelog

---------

Co-authored-by: Riccardo Magliocchetti <[email protected]>

Author: tammy-baylis-swi

CHANGELOG.md

@@ -30,6 +30,8 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 
 - `opentelemetry-instrumentation-botocore`: Handle dict input in _decode_tool_use for Bedrock streaming
   ([#3875](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/3875))
+- `opentelemetry-instrumentation-aiohttp-client`, `opentelemetry-instrumentation-aiohttp-server`: Fix readme links and text
+  ([#3902](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/3902))
 - `opentelemetry-instrumentation-aws-lambda`: Fix ImportError with slash-delimited handler paths
   ([#3894](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/3894))
 - `opentelemetry-exporter-richconsole`: Prevent deadlock when parent span is not part of the batch

instrumentation/opentelemetry-instrumentation-aiohttp-client/README.rst

@@ -19,6 +19,7 @@ Installation
 References
 ----------
 
+* `OpenTelemetry aiohttp client Instrumentation <https://opentelemetry-python-contrib.readthedocs.io/en/latest/instrumentation/aiohttp_client/aiohttp_client.html>`_
+* `aiohttp Tracing Reference <https://docs.aiohttp.org/en/stable/tracing_reference.html>`_
 * `OpenTelemetry Project <https://opentelemetry.io/>`_
-* `aiohttp client Tracing <https://docs.aiohttp.org/en/stable/tracing_reference.html>`_
 * `OpenTelemetry Python Examples <https://github.com/open-telemetry/opentelemetry-python/tree/main/docs/examples>`_

instrumentation/opentelemetry-instrumentation-aiohttp-server/README.rst

@@ -3,8 +3,8 @@ OpenTelemetry aiohttp server Integration
 
 |pypi|
 
-.. |pypi| image:: https://badge.fury.io/py/opentelemetry-instrumentation-aiohttp-client.svg
-   :target: https://pypi.org/project/opentelemetry-instrumentation-aiohttp-client/
+.. |pypi| image:: https://badge.fury.io/py/opentelemetry-instrumentation-aiohttp-server.svg
+   :target: https://pypi.org/project/opentelemetry-instrumentation-aiohttp-server/
 
 This library allows tracing HTTP requests made by the
 `aiohttp server <https://docs.aiohttp.org/en/stable/server.html>`_ library.
@@ -19,6 +19,7 @@ Installation
 References
 ----------
 
+* `OpenTelemetry aiohttp server Instrumentation <https://opentelemetry-python-contrib.readthedocs.io/en/latest/instrumentation/aiohttp_server/aiohttp_server.html>`_
+* `aiohttp Tracing Reference <https://docs.aiohttp.org/en/stable/tracing_reference.html>`_
 * `OpenTelemetry Project <https://opentelemetry.io/>`_
-* `aiohttp client Tracing <https://docs.aiohttp.org/en/stable/tracing_reference.html>`_
 * `OpenTelemetry Python Examples <https://github.com/open-telemetry/opentelemetry-python/tree/main/docs/examples>`_