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Statistics and Probability Module: Computing Test Statistic Value Involving Population Proportion

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 teacher’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.

One of the processes in hypothesis testing is the calculation of the test statistic. It is the value used in determining the probability needed in decision-making. The conclusion we make depends on the computed test statistic.

Many hypothesis testing situations involve proportions. In fact, a hypothesis test involving a population proportion can be considered a binomial experiment. It means that there will only be two outcomes and the probability of a success or failure does not change from trial to trial since the outcome of each trial is independent. As you may recall, the Central Limit Theorem is not limited to sample means only. It can also be applied to sample proportions. In doing so, the z-test statistics for population proportion shall be applied.

This module will be dealing on the computation of the test statistic value for population proportion.

After going through this module, you are expected to:

1. describe the z-test statistic of proportion;

2. compute the z-value for population proportion; and

3. solve problems involving the z-value for population proportion.

Statistics and Probability Quarter 4 Self-Learning Module: Computing Test Statistic Value Involving Population Proportion

Statistics-and-Probability_q4_mod12_Computing-Test-Statistic-Value-Involving-Population-Proportion-V2pdf

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