Hypothesis Testing for Proportions Robb T Koether Homework Review Introduction The p Value Approach The Hypothesis Testing Procedure Example Hypothesis Testing for Proportions Lecture 29 Sections 9 1 9 2 Robb T Koether Hampden Sydney College The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment Tue Oct 20 2009 Outline Hypothesis Testing for Proportions Robb T Koether Homework Review 1 Homework Review 2 Introduction 3 The p Value Approach 4 The Hypothesis Testing Procedure 5 Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion 6 Assignment Introduction The p Value Approach The Hypothesis Testing Procedure Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment Outline Hypothesis Testing for Proportions Robb T Koether Homework Review 1 Homework Review 2 Introduction 3 The p Value Approach 4 The Hypothesis Testing Procedure 5 Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion 6 Assignment Introduction The p Value Approach The Hypothesis Testing Procedure Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment Homework Review Hypothesis Testing for Proportions Robb T Koether Homework Review Introduction The p Value Approach The Hypothesis Testing Procedure Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment Exercise 8 24 page 552 Suppose that for a population the response variable X has a N 1 2 distribution a Draw the distribution of X Clearly indicate in your drawing the mean and the standard deviation b Suppose that a simple random sample of size n 100 is selected from this population Let X represent the sample mean response i What is the distribution of X for a simple random sample of size n 100 Give all relevant features of the distribution ii Draw the distribution of X Clearly indicate in your drawing the model the mean and the standard deviation iii Calculate P X 0 9 Show all steps used to get your answer Homework Review Hypothesis Testing for Proportions Robb T Koether Solution 24 a The graph of N 1 2 Homework Review 0 20 Introduction The p Value Approach 0 15 The Hypothesis Testing Procedure 0 10 Example The Hypotheses 0 05 The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment 6 4 2 2 4 Homework Review Hypothesis Testing for Proportions Robb T Koether Homework Review Introduction Solution 24 b i The CLT says that x 1 The p Value Approach The Hypothesis Testing Procedure Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment and 2 x 0 2 n 100 So the distribution of x is N 1 0 2 Homework Review Hypothesis Testing for Proportions Robb T Koether Homework Review Solution 24 b i The distribution of x 2 0 Introduction The p Value Approach The Hypothesis Testing Procedure 1 5 1 0 Example The Hypotheses The Significance Level 0 5 The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment 1 4 1 2 1 0 0 8 0 6 0 4 Homework Review Hypothesis Testing for Proportions Robb T Koether Homework Review Introduction The p Value Approach The Hypothesis Testing Procedure Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment Solution 24 b iii To calculate P X 0 9 use the normalcdf function normalcdf 0 9 E99 1 0 2 0 3085 Outline Hypothesis Testing for Proportions Robb T Koether Homework Review 1 Homework Review 2 Introduction 3 The p Value Approach 4 The Hypothesis Testing Procedure 5 Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion 6 Assignment Introduction The p Value Approach The Hypothesis Testing Procedure Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment Introduction Hypothesis Testing for Proportions Robb T Koether Homework Review Introduction The p Value Approach The Hypothesis Testing Procedure Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment Any question about a population must first be stated in terms of a population parameter We will work with only two parameters The population mean The population proportion p Introduction Hypothesis Testing for Proportions Robb T Koether Homework Review Introduction The p Value Approach The Hypothesis Testing Procedure Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment There are only two basic questions that we ask What is the value of the parameter Estimation Does the evidence support or refute a claim about the value of the parameter Hypothesis testing Example Hypothesis Testing for Proportions Robb T Koether Homework Review If we want to learn about the effectiveness of a new drug Introduction The p Value Approach The Hypothesis Testing Procedure Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment What parameter do we use Do we estimate the parameter Or do we test a hypothesis Example Hypothesis Testing for Proportions Robb T Koether Homework Review Introduction If we want to find out whether a newborn child is more likely to be male than female The p Value Approach What parameter do we use The Hypothesis Testing Procedure Do we estimate the parameter Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion Assignment Or do we test a hypothesis Outline Hypothesis Testing for Proportions Robb T Koether Homework Review 1 Homework Review 2 Introduction 3 The p Value Approach 4 The Hypothesis Testing Procedure 5 Example The Hypotheses The Significance Level The Test Statistic The Value
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