# Statistics and Probability Module: Testing Hypothesis

This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacherâ€™s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

Hypothesis testing can allow us to measure data in samples to learn more about the data in populations that are often too large or inaccessible. We can measure a sample mean to learn more about the mean in a population. Here, we can either accept or reject our assumption using hypothesis testing. This ADM module in hypothesis testing will help you study the different concepts and steps in hypothesis testing as well as its application in real-life situations.

After going through this module, you are expected to:

1. define and illustrate the null hypothesis, alternative hypothesis, level of significance, rejection region, and types of errors in hypothesis testing;

2. identify the rejection and non-rejection regions and the critical values; and

3. differentiate Type I and Type II errors in claims and decisions.