Go over test?. Testing a Claim Chapter 9 Significance Test.

Slides:



Advertisements
Similar presentations
Hypothesis Testing Steps of a Statistical Significance Test. 1. Assumptions Type of data, form of population, method of sampling, sample size.
Advertisements

STA291 Statistical Methods Lecture 21. We want to make a decision … About whether our company’s fleet of cars has failed to meet our goal average of 26.
Chapter Eight Hypothesis Testing McGraw-Hill/Irwin Copyright © 2004 by The McGraw-Hill Companies, Inc. All rights reserved.
State the null and alternative hypotheses.
Chapter 9 Hypothesis Testing.
Testing a Claim I’m a great free-throw shooter!. Significance Tests A significance test is a formal procedure for comparing observed data with a claim.
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Testing a Claim Section 9.1 Significance Tests: The Basics.
Chapter 9: Testing a Claim
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Testing a Claim Section 9.1 Significance Tests: The Basics.
Chapter 9: Testing a Claim
Significance Tests: The Basics
A Better Golf Club? (a) Since Mike is interested in being more consistent, the parameter of interest is the standard deviation of the distance he hits.
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Unit 5: Hypothesis Testing.
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Testing a Claim Section 9.1 Significance Tests: The Basics.
9.1 – The Basics Ch 9 – Testing a Claim. Jack’s a candidate for mayor against 1 other person, so he must gain at least 50% of the votes. Based on a poll.
Slide 4- 1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Active Learning Lecture Slides For use with Classroom Response.
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.
CHAPTER 9 Testing a Claim
BPS - 3rd Ed. Chapter 141 Tests of significance: the basics.
Logic and Vocabulary of Hypothesis Tests Chapter 13.
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Testing a Claim Section 9.1 Significance Tests: The Basics.
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Testing a Claim Section 9.1 Significance Tests: The Basics.
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Unit 5: Hypothesis Testing.
Testing a Claim Chapter 9. Significance Test Stating Hypotheses.
Tests of Significance: The Basics ESS chapter 15 © 2013 W.H. Freeman and Company.
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Testing a Claim Section 9.1 Significance Tests: The Basics.
Testing a Single Mean Module 16. Tests of Significance Confidence intervals are used to estimate a population parameter. Tests of Significance or Hypothesis.
If we fail to reject the null when the null is false what type of error was made? Type II.
Type I and II Errors Power.  Better Batteries a) What conclusion can you make for the significance level α = 0.05? b) What conclusion can you make for.
The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers CHAPTER 9 Testing a Claim 9.1 Significance Tests:
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Testing a Claim Section 9.1 Significance Tests: The Basics.
Section 9.1 First Day The idea of a significance test What is a p-value?
Chapter 7 Hypothesis Testing with One Sample Let’s begin…
Chapter 9 Testing A Claim 9.1 SIGNIFICANT TESTS: THE BASICS OUTCOME: I WILL STATE THE NULL AND ALTERNATIVE HYPOTHESES FOR A SIGNIFICANCE TEST ABOUT A POPULATION.
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Testing a Claim Section 9.1 Significance Tests: The Basics.
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Testing a Claim Section 9.1 Significance Tests: The Basics.
+ Testing a Claim Significance Tests: The Basics.
The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers CHAPTER 9 Testing a Claim 9.1 Significance Tests:
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Testing a Claim Section 9.1 Significance Tests: The Basics.
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 9: Testing a Claim Section 9.1 Significance Tests: The Basics.
+ Homework 9.1:1-8, 21 & 22 Reading Guide 9.2 Section 9.1 Significance Tests: The Basics.
Review of Power of a Test
Chapter 9: Testing a Claim
Unit 5: Hypothesis Testing
Consider This… I claim that I make 80% of my basketball free throws. To test my claim, you ask me to shoot 20 free throws. I make only 8 out of 20.
Chapter 9: Testing a Claim
AP Stats Check In Where we’ve been…
Chapter 9: Testing a Claim
Significance Tests: The Basics
Section 9.1 Significance Tests: The Basics
Significance Tests: The Basics
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
CHAPTER 9 Testing a Claim
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
Pull 2 samples of 20 pennies and record both averages (2 dots).
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
Tests of Significance Section 10.2.
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
Chapter 9: Testing a Claim
Presentation transcript:

Go over test?

Testing a Claim Chapter 9

Significance Test

Stating Hypotheses

For Example…

One-sided vs. Two-sided The alternative hypothesis is one-sided if it states that a parameter is larger or smaller than the null hypothesis. It is two-sided if it states that the parameter is different from the null hypothesis (it could be larger or smaller).

P-Value

Example Mike is testing new golf clubs to see if they perform better than his old clubs. His average drive with the old clubs was 243 yards. When Mike was testing his new golf clubs, a significance test using the sample data produced a p-value of Interpret the P-value in context: Do the data provide convincing evidence against the null hypothesis? Explain.

In a nutshell…

Statistically Significant

Example A company has developed a new deluxe AAA battery that is supposed to last longer than its regular AAA battery, but these are more expensive to produce so the company would like to be convinced that they really do last longer. They know that the regular AAA battery last for 30 hours, on average. The company selects a SRS of 15 new batteries and uses them until they are completely drained. What are the hypotheses in question?

Example

Homework – YOU NEED TO PRACTICE THE HOMEWORK FOR THIS CHAPTER! Pg. 546 (1-17) Start together in class!