Chapter 9 Hypothesis Testing

Slides:

Advertisements

Similar presentations

There are two statistical tests for mean: 1) z test – Used for large samples (n ≥ 30) 1) t test – Used for small samples (n < 30)

Advertisements

Significance Testing.  A statistical method that uses sample data to evaluate a hypothesis about a population  1. State a hypothesis  2. Use the hypothesis.

1 1 Slide © 2008 Thomson South-Western. All Rights Reserved Chapter 9 Hypothesis Testing Developing Null and Alternative Hypotheses Developing Null and.

Two Sample Hypothesis Testing for Proportions

© 2010 Pearson Prentice Hall. All rights reserved Hypothesis Testing Using a Single Sample.

Chapter 9 Hypothesis Testing Testing Hypothesis about µ, when the s.t of population is known.

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

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

Today Today: Chapter 10 Sections from Chapter 10: Recommended Questions: 10.1, 10.2, 10-8, 10-10, 10.17,

Chapter 9 Hypothesis Testing 9.4 Testing a Hypothesis about a Population Proportion.

Business Statistics - QBM117 Testing hypotheses about a population mean.

Significance Tests for Proportions Presentation 9.2.

Hypothesis Testing and T-Tests. Hypothesis Tests Related to Differences Copyright © 2009 Pearson Education, Inc. Chapter Tests of Differences One.

Claims about a Population Mean when σ is Known Objective: test a claim.

Section Copyright © 2014, 2012, 2010 Pearson Education, Inc. Lecture Slides Elementary Statistics Twelfth Edition and the Triola Statistics Series.

Inference about Two Population Standard Deviations.

Hypothesis Testing for Proportions 1 Section 7.4.

The Probability of a Type II Error and the Power of the Test

Section 9.3 ~ Hypothesis Tests for Population Proportions Introduction to Probability and Statistics Ms. Young.

Chapter 20: Testing Hypotheses About Proportions AP Statistics.

Slide Slide 1 Section 8-4 Testing a Claim About a Mean:  Known.

Example Suppose we want to prove that the mean commute time for people in Lexington to get to work is less than 20 minutes. A random sample of 125 people.

Chapter Outline Goodness of Fit test Test of Independence.

Hypothesis Testing Errors. Hypothesis Testing Suppose we believe the average systolic blood pressure of healthy adults is normally distributed with mean.

Testing Claims about a Population Proportion Objective: Test a claim about a population proportion.

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

Chapter 10 Inferences on Two Samples 10.1 Inference about Means: Dependent Sampling.

Major Steps. 1.State the hypotheses.  Be sure to state both the null hypothesis and the alternative hypothesis, and identify which is the claim. H0H0.

1 1 Slide © 2008 Thomson South-Western. All Rights Reserved Chapter 12 Tests of Goodness of Fit and Independence n Goodness of Fit Test: A Multinomial.

Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 11 Section 3 – Slide 1 of 27 Chapter 11 Section 3 Inference about Two Population Proportions.

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

The Idea of the Statistical Test. A statistical test evaluates the "fit" of a hypothesis to a sample.

Copyright © 2010, 2007, 2004 Pearson Education, Inc Lecture Slides Elementary Statistics Eleventh Edition and the Triola Statistics Series by.

Lec. 19 – Hypothesis Testing: The Null and Types of Error.

Analysis of Variance ANOVA - method used to test the equality of three or more population means Null Hypothesis - H 0 : μ 1 = μ 2 = μ 3 = μ k Alternative.

1 Section 8.4 Testing a claim about a mean (σ known) Objective For a population with mean µ (with σ known), use a sample (with a sample mean) to test a.

1 Where we are going : a graphic: Hypothesis Testing. 1 2 Paired 2 or more Means Variances Proportions Categories Slopes Ho: / CI Samples Ho: / CI / CI.

© 2010 Pearson Prentice Hall. All rights reserved Chapter Hypothesis Tests Regarding a Parameter 10.

Test of a Population Median. The Population Median (  ) The population median ( , P 50 ) is defined for population T as the value for which the following.

Test of a Population Median. The Population Median (  ) The population median ( , P 50 ) is defined for population T as the value for which the following.

Testing Claims about a Population Mean Objective: test a claim.

Chapter 10 Inference on Two Samples 10.3 Inference About Two Population Proportions.

Lecture Slides Elementary Statistics Twelfth Edition

Chapter 7 Hypothesis Testing with One Sample.

STAT 312 Chapter 7 - Statistical Intervals Based on a Single Sample

Math 4030 – 10b Inferences Concerning Variances: Hypothesis Testing

Chapter 9 Hypothesis Testing

Hypothesis Testing for Proportions

MATH 2311 Section 8.2.

Chapter 9 Hypothesis Testing

Hypothesis Tests for a Population Mean in Practice

Chapter Review Problems

Inferences on Two Samples Summary

Chapter 12 Inference on the Least-squares Regression Line; ANOVA

Chapter 9 Hypothesis Testing

Section 12.2: Tests about a Population Proportion

Inference about Two Means: Independent Samples

Hypothesis Tests for Proportions

Hypothesis Tests Regarding a Parameter

Hypothesis testing Example Questions.

Chapter 9 Hypothesis Testing

CHAPTER 12 Inference for Proportions

CHAPTER 12 Inference for Proportions

Doing t-tests by hand.

CHAPTER 10 Comparing Two Populations or Groups

Hypothesis Testing for Proportions

Section 8.2 Day 2.

7.4 Hypothesis Testing for Proportions

Inference about Two Means: Dependent Samples

Presentation transcript:

Chapter 9 Hypothesis Testing 9.4 Testing a Hypothesis about a Population Proportion

Hypothesis Test Regarding a Population Proportion, p If a claim is made regarding the population proportion, we can use the following steps to test the claim, provided that 1. the sample is obtained via simple random sampling, and 2. npo(1 – po) > 10 with n < 0.05N (the sample size, n, is no more than 5% of the population size, N).

Step 1: A claim is made regarding the population proportion Step 1: A claim is made regarding the population proportion. The claim is used to determine the null and alternative hypotheses. The hypotheses can be structured in one of three ways:

Step 4: Compare the critical value with the test statistic:

Step 5: State the conclusion.

EXAMPLE Trust the Media?

EXAMPLE. Hypothesis Test for a Population EXAMPLE Hypothesis Test for a Population Proportion – Small Sample Size