For the single mean & proportion Confidence Interval vs Hypothesis Testing At the same level in confidence interval and hypothesis testing,

Slides:

Advertisements

Similar presentations

Ch 5: Hypothesis Tests With Means of Samples Pt 3: Sept. 17, 2013.

Advertisements

Topics

Differentiating between directional and non-directional hypotheses.

HYPOTHESIS TESTS VS CONFIDENCE INTERVALS. According to the CDC Web site, 50% of high school students have never smoked a cigarette. Mary wonders whether.

1. Estimation ESTIMATION.

The z-Test What is the Purpose of a z-Test? What are the Assumptions for a z- Test? How Does a z-Test Work?

Estimation and Testing for Population Proportions Introduction to Business Statistics, 5e Kvanli/Guynes/Pavur (c)2000 South-Western College Publishing.

Mean for sample of n=10 n = 10: t = 1.361df = 9Critical value = Conclusion: accept the null hypothesis; no difference between this sample.

Sample Size Determination In the Context of Hypothesis Testing

Significance Tests for Proportions Presentation 9.2.

Analyzing categorical data S-012. Categorical data Non-continuous (discrete values) Categories such as: – “high” or “low” – Yes / no – Graduate / non-graduate.

Warm-up Day of 8.1 and 8.2 Quiz and Types of Errors Notes.

1/2555 สมศักดิ์ ศิวดำรงพงศ์

 Formula found on pg. 503  You are not using the equation with standard deviations 1, 2, and 3. You will use z* values  Critical values (z*) for 8.

Chapter 9 Testing the Difference Between Two Means, Two Proportions, and Two Variances Copyright © 2012 The McGraw-Hill Companies, Inc. Permission required.

MADAM SITI AISYAH ZAKARIA EQT 271 SEM /2015 CHAPTER 3 ANOVA (EXTRA NOTE & EXERCISE)

SUMMARY FOR EQT271 Semester /2015 Maz Jamilah Masnan, Inst. of Engineering Mathematics, Univ. Malaysia Perlis.

Section 9.2 Hypothesis Testing Proportions P-Value.

HYPOTHESIS TESTING FRAMEWORK Farrokh Alemi Ph.D..

S-012 Testing statistical hypotheses The CI approach The NHST approach.

Normal Distribution.

Chapter 20: Testing Hypotheses About Proportions AP Statistics.

Statistical planning and Sample size determination.

9.2 Testing the Difference Between Two Means: Using the t Test

Introduction to Statistical Inference Jianan Hui 10/22/2014.

Tests of significance: The basics BPS chapter 14 © 2006 W.H. Freeman and Company.

Confidence Intervals With z Statistics Introduction Last time we talked about hypothesis testing with the z statistic Just substitute into the formula,

Statistics: Unlocking the Power of Data Lock 5 Section 4.5 Confidence Intervals and Hypothesis Tests.

Comparing Two Proportions. AP Statistics Chap 13-2 Two Population Proportions The point estimate for the difference is p 1 – p 2 Population proportions.

1 Chapter 12 Inferences for Population Proportions.

Sampling Distribution of Differences Between Means.

Tests of Significance: The Basics ESS chapter 15 © 2013 W.H. Freeman and Company.

While you wait: Please enter the following data on your calculator. Before Data in one list, the After data in a different list. Bluman, Chapter 91.

Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 10 Summary – Slide 1 of 4 Chapter 10 Hypothesis Tests Regarding a Parameter Summary.

SUMMARY EQT 271 MADAM SITI AISYAH ZAKARIA SEMESTER /2015.

Hypothesis Testing Hypothesis testing is an inferential process

Lecture #24 Thursday, November 10, 2016 Textbook: 13.1 through 13.6

Chapter 9 Hypothesis Testing.

Testing the Difference Between Two Means

Tests of Significance: The Basics

Hypothesis Testing for Proportions

Hypothesis Testing I The One-sample Case

Comparing Two Proportions

LBSRE1021 Data Interpretation Lecture 9

Hypothesis Testing II: The Two-sample Case

Review of Chapter 12 Significance Tests in Practice

Testing the Difference Between Two Means: Dependent Samples

Hypothesis Tests for 1-Sample Proportion

MATH 2311 Section 8.2.

Inferences On Two Samples

Hypothesis Tests for Two Population Proportions

Males and Female College Completion Rates in Wisconsin in 1957

Chapter Review Problems

Statistical Inference for the Mean Confidence Interval

Inferences on Two Samples Summary

Section 12.2: Tests about a Population Proportion

Statistical Inference

Hypothesis Tests for Proportions

Statistics 300: Elementary Statistics

Chapter 10 – Estimation and Testing for Population Proportions

Testing Hypotheses about a Population Proportion

Inference Confidence Interval for p.

CHAPTER 12 Inference for Proportions

CHAPTER 12 Inference for Proportions

More on Testing 500 randomly selected U.S. adults were asked the question: “Would you be willing to pay much higher taxes in order to protect the environment?”

Testing Hypotheses I Lesson 9.

Chapter 8 Inferences from Two Samples

7.4 Hypothesis Testing for Proportions

Additional Topics Regarding Hypothesis Testing

Presentation transcript:

For the single mean & proportion Confidence Interval vs Hypothesis Testing At the same level in confidence interval and hypothesis testing, when the null hypothesis is rejected, the confidence interval for the mean and proportion will not contain the hypothesized mean/proportion. Likewise, when we fail to reject null hypothesis the confidence interval will contain the hypothesized mean/ proportion. ** Applies only for two-tailed test. Allan Bluman, pg. 458

For the difference of means & proportions Confidence Interval vs Hypothesis Testing [-8.5 , 8.5] Contains zero = If the CI contains zero, we fail to reject H0 (Means that the there is NO DIFFERENCE in population means or proportions) [5.45 , 12.45] No zero If the CI does not contain zero, we reject H0 (Mean/proportion for population 1 is GREATER than the mean/proportion for population 2) [-7.3 , -3.3] (Mean/proportion for population 1 is LESS than the mean/proportion for population 2) ** Applies only for two-tailed test. Eg. in Allan Bluman, pg. 477-478.