About This Chapter
TECEP Principles of Statistics: Hypothesis Testing & Estimation - Chapter Summary
Students studying for the TECEP Principles of Statistics exam prepare for the types of hypothesis testing and estimation questions they'll need to answer with this study guide chapter. The skills covered in this chapter include:
- Defining a null hypothesis
- Summarizing the Z-test
- Understanding type I and type II errors in hypothesis testing
- Using degrees of freedom
- Knowing the confidence interval formula
- Finding confidence coefficients, levels and intervals
- Applying normal distribution to find confidence intervals
- Identifying levels of statistical significance
- Calculating statistical significance
- Interpreting effect size in hypothesis testing
Each lesson breaks down hypothesis concepts into easy-to-understand definitions, examples and sample problems. The lesson quizzes are designed to help you practice many hypothesis testing questions so you can confidently answer these types of questions on the test.
1. What is a Null Hypothesis? - Definition & Examples
This lesson will give the definition of a null hypothesis, as well as an alternative hypothesis. Examples will be given to clearly illustrate the concept of a null hypothesis versus an alternative hypothesis.
2. Z Test: Formula & Example
In statistics, z-tests are calculations that can be used to compare sample and population means to see if there is a significant difference. In this lesson, you will learn about these useful statistical methods.
3. Type I & Type II Errors in Hypothesis Testing: Differences & Examples
Watch this video lesson to learn about the two possible errors that you can make when performing hypothesis testing. You will see how important it is to really understand what these errors mean for your results.
4. Degrees of Freedom: Definition, Formula & Example
Degrees of freedom is a mathematical equation used primarily in statistics, but also in mechanics, physics, and chemistry. In this lesson, explore how degrees of freedom can be used in statistics to determine if results are significant.
5. Confidence Interval: Definition, Formula & Example
When calculating the mean or proportion for a population, using samples and confidence intervals can make the calculation more manageable. Learn more about this process in this lesson.
6. Calculating Confidence Intervals, Levels & Coefficients
In this lesson, you're going to learn about confidence intervals, confidence levels, and coefficients, and how they relate to point estimates and interval estimates.
7. Finding Confidence Intervals with the Normal Distribution
In this lesson, you're going to learn how to construct a confidence interval when the population's standard deviation is known and the population is normally distributed.
8. Statistical Significance: Definition & Levels
In this lesson, you will learn to define statistical significance as well as learn how it is determined. Following this lesson you will have the opportunity to test your knowledge with a short quiz.
9. Statistical Significance: Definition & Calculation
Watch this video lesson to learn about statistical significance, and how it relates to surveys and other real world events. Also, learn how it is calculated, and how you can describe it to others.
10. Effect Size in Hypothesis Testing: Definition & Interpretation
Watch this video lesson to learn what effect size is when used in hypothesis testing. Also learn what significance it has in your testing. Learn how your data affects the effect size.
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Other chapters within the TECEP Principles of Statistics: Study Guide & Test Prep course
- TECEP Principles of Statistics: Measurement
- TECEP Principles of Statistics: Summarizing Data
- TECEP Principles of Statistics: Central Tendency & Variability
- TECEP Principles of Statistics: Probability
- TECEP Principles of Statistics: Probability Distributions
- TECEP Principles of Statistics: Correlation
- TECEP Principles of Statistics: Regression
- TECEP Principles of Statistics: Population, Samples & Probability
- TECEP Principles of Statistics: t-Tests
- TECEP Principles of Statistics: ANOVA
- TECEP Principles of Statistics: Chi-Square Test
- TECEP Principles of Statistics Flashcards