M3| OU Unit-4| LARGE SAMPLE TEST SINGLE PROPORTION| PYQ Practice 

M3| OU Unit-4| LARGE SAMPLE TEST SINGLE PROPORTION| PYQ Practice
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🎓 OU M3 Engineering Mathematics 3 - Large Sample Test for Single Proportion | Detailed Explanation 📊
Welcome to another insightful video on Engineering Mathematics 3 (OU M3), tailored especially for engineering students! Today, we will be delving into a key topic in Probability and Statistics-the Large Sample Test for Single Proportion. This is a critical concept in statistics used to test hypotheses concerning a single proportion in a population.
Whether you're preparing for your exams or aiming to strengthen your understanding of statistical methods, this video will serve as a comprehensive guide. Stay tuned until the end, as we will not only go through the theoretical aspects but also solve problems step by step to ensure you master the concept!
******What Will You Learn in This Video?
What is the Large Sample Test for Single Proportion?
Explanation of single proportion and population proportion.
The concept of sampling distribution of proportions.
Assumptions required for using the large sample test.
Step-by-Step Procedure:
How to set up a hypothesis for single proportion.
Calculating the test statistic for large samples.
Decision rule: when to reject or fail to reject the null hypothesis.
Critical value approach vs. p-value approach.
Example Problem:
We will work through a complete example of testing a single proportion hypothesis using a large sample.
Problem statement, solution process, and interpretation of results.
We will discuss how the p-value is used to make decisions and what it means for the hypothesis being tested.
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