Section 12.2 Two-Proportion z tests

Slides:



Advertisements
Similar presentations
Chapter 12: Inference for Proportions BY: Lindsey Van Cleave.
Advertisements

Statistics Estimates and Sample Sizes
Sampling: Final and Initial Sample Size Determination
AP Statistics Section 14.2 A. The two-sample z procedures of chapter 13 allowed us to compare the proportions of successes in two groups (either two populations.
Chapter 9 Hypothesis Testing 9.4 Testing a Hypothesis about a Population Proportion.
CHAPTER 7 Sampling Distributions
Simple Linear Regression Analysis
Mean, Variance, and Standard Deviation for Grouped Data Section 3.3.
SECTION 6.4 Confidence Intervals for Variance and Standard Deviation Larson/Farber 4th ed 1.
Hypothesis Testing for Proportions 1 Section 7.4.
Copyright © 2013 Pearson Education, Inc. Publishing as Prentice Hall Statistics for Business and Economics 8 th Edition Chapter 6 Sampling and Sampling.
Chapter 3 Basic Statistics Section 2.2: Measures of Variability.
Section 7.4 Hypothesis Testing for Proportions Larson/Farber 4th ed.
Inference for Regression Simple Linear Regression IPS Chapter 10.1 © 2009 W.H. Freeman and Company.
1 Chapter 12: Inference for Proportions 12.1Inference for a Population Proportion 12.2Comparing Two Proportions.
Determination of Sample Size: A Review of Statistical Theory
AP Statistics Chapter 13 Notes. Two-sample problems The goal is to compare the responses of two treatments given to randomly assigned groups, or to compare.
Chapter 18: Sampling Distribution Models
Powers and roots. Square each number a) 7 b) 12 c) 20 d) 9 e) 40 a) 49 b) 144 c) 400 d) 81 e) 1600.
2 sample interval proportions sample Shown with two examples.
1 Mean Analysis. 2 Introduction l If we use sample mean (the mean of the sample) to approximate the population mean (the mean of the population), errors.
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Simple Linear Regression Analysis Chapter 13.
Chapter 12: A World of Proportions By: Antionette L. Wilson Annette Small.
Section 13.2 Chi-Squared Test of Independence/Association.
+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 8: Estimating with Confidence Section 8.2 Estimating a Population Proportion.
{ Chapter 7 Lesson 3 Square Root Functions and Inequalities.
Hypothesis Testing with Two Samples
Warm-up An experiment on the side effects of pain relievers assigned arthritis patients to one of several over-the-counter pain medications. Of the 440.
Chapter 7 Hypothesis Testing with One Sample.
Inference for Proportions
Comparing Two Proportions
Chapter 7 Hypothesis Testing with One Sample.
Comparing Two Populations or Treatments
Chapter 8 Hypothesis Testing with Two Samples.
Hypothesis Tests: One Sample
Chapter 18: Sampling Distribution Models
Inferences On Two Samples
Chapter 11 Goodness-of-Fit and Contingency Tables
Since everything is a reflection of our minds,
Chapter 7 Hypothesis Testing with One Sample.
Chi Square Two-way Tables
Section 12.2: Tests about a Population Proportion
جمعیت –نمونه –روشهای نمونه گیری دکتر محسن عسکرشاهی دکترای آمار زيستی
Confidence Intervals Chapter 10 Section 1.
Solving Radical Equations
Hypothesis Tests Regarding a Parameter
Confidence Intervals for a Standard Deviation
Estimating the Value of a Parameter Using Confidence Intervals
Hypothesis Tests for a Standard Deviation
DRILL What conditions need to be met when doing an inference test?
CHAPTER 12 Inference for Proportions
Chapter 7: Introduction to Sampling Distributions
Chapter 5: Graphs & Functions
Section 12.2 Comparing Two Proportions
CHAPTER 12 Inference for Proportions
Section 12.1 Inference for a Population Proportion
Chapter 7 Lecture 3 Section: 7.5.
Chapter 12 Inference for Proportions
2/3/ Estimating a Population Proportion.
Sample Standard Deviation
Inference for Two Way Tables
Chapter 6 Confidence Intervals.
Inference for Proportions
Chapter 3: Solving Equations
Bell Work For problem #1 state the 2 roots of the number, and problem #2 Estimate the value of the radical to the nearest 10th…
Bell Work For problem #1 state the 2 roots of the number, and problem #2 Estimate the value of the radical to the nearest 10th…
I can determine the different sampling techniques used in real life.
Bell Work For problem #1 state the 2 roots of the number, and problem #2 Estimate the value of the radical to the nearest 10th…
To Start: 10 Points Solve the Proportions: 2 3
Chapter 8 Inferences from Two Samples
Presentation transcript:

Section 12.2 Two-Proportion z tests Great Day! It’s Friday!!

Comparing Two Proportions Chapter 12 Section 2 Comparing Two Proportions 2-Proportion Z test – compares the proportion of successes in two independent populations by comparing the difference between the two population proportions, p1 and p2 . (use identifying subscripts when labeling p)

Assumptions for 2 Prop. z Test: 2 independent SRSs N ≥ 10 n Because we do not always know p1 or p2 the statistic that estimates this difference is the difference between the two sample proportions Assumptions for 2 Prop. z Test: 2 independent SRSs N ≥ 10 n (n1)(p̂) ≥ 5 and (n1)(1-p̂) ≥ 5 (n2)(p̂) ≥ 5 and (n2)(1-p̂) ≥ 5

The 2-proportion Z test equation looks like: Z = (everything below p̂1 - p̂2 is underneath the square root symbol) Find Z value on table A and get corresponding P-value. P-value is interpreted the same as on the other significance tests.

 

  Assignment: p.688 & 689 #s 21 and 23