Tests of Significance Section 10.2.

Slides:



Advertisements
Similar presentations
Tests of Significance Section Tests of Significance Used to assess the evidence in favor of some claim. Example: Test sweetener in cola to see if.
Advertisements

9.2a Tests about a Population Proportion Target Goal: I can check the conditions for carrying out a test about a population proportion. I can perform a.
Chapter 9 Tests of Significance Target Goal: I can perform a significance test to support the alternative hypothesis. I can interpret P values in context.
Hypothesis Testing for the Mean and Variance of a Population Introduction to Business Statistics, 5e Kvanli/Guynes/Pavur (c)2000 South-Western College.
Section 9.1 Introduction to Statistical Tests 9.1 / 1 Hypothesis testing is used to make decisions concerning the value of a parameter.
+ Chapter 9 Summary. + Section 9.1 Significance Tests: The Basics After this section, you should be able to… STATE correct hypotheses for a significance.
AP Statistics Section 11.2 A Inference Toolbox for Significance Tests
Significance Tests: THE BASICS Could it happen by chance alone?
AP STATISTICS LESSON 10 – 2 DAY 1 TEST OF SIGNIFICANCE.
Confidence intervals are one of the two most common types of statistical inference. Use a confidence interval when your goal is to estimate a population.
CHAPTER 17: Tests of Significance: The Basics
1 Chapter 10: Introduction to Inference. 2 Inference Inference is the statistical process by which we use information collected from a sample to infer.
CHAPTER 9 Testing a Claim
Statistics 101 Chapter 10 Section 2. How to run a significance test Step 1: Identify the population of interest and the parameter you want to draw conclusions.
Statistical Significance The power of ALPHA. “ Significant ” in the statistical sense does not mean “ important. ” It means simply “ not likely to happen.
1 Section 10.2 Tests of Significance AP Statistics March 2, 2010 Berkley High School, D1B1.
Logic and Vocabulary of Hypothesis Tests Chapter 13.
Inference with Proportions Review Mr. Hardin AP STATS 2015.
Statistical Inference Drawing conclusions (“to infer”) about a population based upon data from a sample. Drawing conclusions (“to infer”) about a population.
AP Statistics Section 11.2 A Inference Toolbox for Significance Tests.
Tests of Significance: Stating Hypothesis; Testing Population Mean.
Section 10.2: Tests of Significance Hypothesis Testing Null and Alternative Hypothesis P-value Statistically Significant.
10.1 – Estimating with Confidence. Recall: The Law of Large Numbers says the sample mean from a large SRS will be close to the unknown population mean.
AP STATISTICS LESSON 11 – 1 (DAY 2) The t Confidence Intervals and Tests.
Ex St 801 Statistical Methods Part 2 Inference about a Single Population Mean (HYP)
Testing a Claim Chapter 11/12. Significance Tests: The Basics Section 1.
Review of Power of a Test
Section 9.3 One-sample z and t-test for a Population Mean
CHAPTER 9 Testing a Claim
Section 2 Comparing two means
Hypothesis Testing for Proportions
CHAPTER 10 Comparing Two Populations or Groups
CHAPTER 9 Testing a Claim
Hypothesis Testing for Proportions
CHAPTER 9 Testing a Claim
CHAPTER 10 Comparing Two Populations or Groups
MATH 2311 Section 8.2.
CONCEPTS OF HYPOTHESIS TESTING
Inferences on Two Samples Summary
Introduction to Inference
CHAPTER 9 Testing a Claim
Section 10.2: Tests of Significance
Section 10.2 Tests of Significance
Chapter Nine Part 1 (Sections 9.1 & 9.2) Hypothesis Testing
Chapter 9: Hypothesis Tests Based on a Single Sample
CHAPTER 9 Testing a Claim
Significance Tests: The Basics
CHAPTER 10 Comparing Two Populations or Groups
Tests of Significance Section 10.2.
AP STATISTICS LESSON 10 – 2 (DAY 3)
Homework: pg. 693 #4,6 and pg. 698#11,12 4.) A. µ=the mean gas mileage for Larry’s car on the highway Ho: µ=26 mpg Ha: µ>26 mpg B.
CHAPTER 9 Testing a Claim
CHAPTER 9 Testing a Claim
CHAPTER 10 Comparing Two Populations or Groups
CHAPTER 9 Testing a Claim
CHAPTER 9 Testing a Claim
CHAPTER 10 Comparing Two Populations or Groups
Significance Tests: The Basics
CHAPTER 10 Comparing Two Populations or Groups
Chapter 9: Significance Testing
CHAPTER 9 Testing a Claim
CHAPTER 9 Testing a Claim
Inference as Decision Section 10.4.
CHAPTER 9 Testing a Claim
Section 11.1: Significance Tests: Basics
Hypothesis Testing for Proportions
Unit 5: Hypothesis Testing
Statistical Test A test of significance is a formal procedure for comparing observed data with a claim (also called a hypothesis) whose truth we want to.
Significance Tests: The Basics
CHAPTER 9 Testing a Claim
Presentation transcript:

Tests of Significance Section 10.2

Test of Significance Used to assess the evidence provided by data about some claim concerning a population

Null Hypothesis H0 Says there is no effect or no change in the population

Alternative Hypothesis Ha Describes the alternative to the null hypothesis Uses the wording of the problem

P-value The probability under the normal curve to the right of the observed x bar. Small P-values are evidence against H0 Large P-values fail to give evidence against H0

Significance Level  Used to determine if results are statistically significant Rule of thumb – statistically significant if P-value is less than .05

Significance Test Identify population of interest and parameter to draw conclusions from. State null and alternative hypotheses (use words and symbols)

Choose inference procedure, verify conditions If conditions are met, calculate test statistic and find P-value Interpret results in context of problem

Practice Problems pg. 583 #10.45-10.56