Hypothesis Testing for Proportions Lecture 29 Sections 9 1 9 2 Robb T Koether Hampden Sydney College Fri Mar 5 2010 Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 1 46 Outline 1 Homework Review 2 Introduction 3 The Hypothesis Testing Procedure 4 Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion 5 Assignment Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 2 46 Outline 1 Homework Review 2 Introduction 3 The Hypothesis Testing Procedure 4 Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion 5 Assignment Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 3 46 Homework Review 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 Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 4 46 Homework Review 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 0 20 0 15 0 10 0 05 6 Robb T Koether Hampden Sydney College 4 2 Hypothesis Testing for Proportions 2 4 Fri Mar 5 2010 4 46 Homework Review Exercise 8 24 page 552 b Suppose that a simple random sample of size n 100 is selected from this population Let X represent the sample mean response Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 5 46 Homework Review Exercise 8 24 page 552 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 Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 5 46 Homework Review Exercise 8 24 page 552 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 The CLT says that x 1 and 2 x 0 2 n 100 So the distribution of x is N 1 0 2 Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 5 46 Homework Review Exercise 8 24 page 552 ii Draw the distribution of X Clearly indicate in your drawing the model the mean and the standard deviation Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 6 46 Homework Review Exercise 8 24 page 552 ii Draw the distribution of X Clearly indicate in your drawing the model the mean and the standard deviation 2 0 1 5 1 0 0 5 1 4 Robb T Koether Hampden Sydney College 1 2 1 0 0 8 Hypothesis Testing for Proportions 0 6 0 4 Fri Mar 5 2010 6 46 Homework Review Exercise 8 24 page 552 ii Draw the distribution of X Clearly indicate in your drawing the model the mean and the standard deviation 2 0 1 5 1 0 0 5 1 4 1 2 1 0 0 8 0 6 0 4 Calculate P X 0 9 Show all steps used to get your answer Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 6 46 Homework Review Exercise 8 24 page 552 ii Draw the distribution of X Clearly indicate in your drawing the model the mean and the standard deviation 2 0 1 5 1 0 0 5 1 4 1 2 1 0 0 8 0 6 0 4 Calculate P X 0 9 Show all steps used to get your answer normalcdf 0 9 E99 1 0 2 0 3085 Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 6 46 Homework Review Exercise 8 24 page 552 2 0 1 5 1 0 0 5 iii 6 4 2 0 2 4 The distributions of X and X Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 7 46 Outline 1 Homework Review 2 Introduction 3 The Hypothesis Testing Procedure 4 Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion 5 Assignment Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 8 46 Introduction Any question about a population must first be stated in terms of a population parameter We will work with only two parameters I I The population mean The population proportion p Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 9 46 Introduction 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 Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 10 46 Outline 1 Homework Review 2 Introduction 3 The Hypothesis Testing Procedure 4 Example The Hypotheses The Significance Level The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion 5 Assignment Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 11 46 The Steps of Testing a Hypothesis p Value Approach The seven steps of hypothesis testing Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 12 46 The Steps of Testing a Hypothesis p Value Approach The seven steps of hypothesis testing 1 State the null and alternative hypotheses Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 12 46 The Steps of Testing a Hypothesis p Value Approach The seven steps of hypothesis testing 1 State the null and alternative hypotheses 2 State the significance level Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 12 46 The Steps of Testing a Hypothesis p Value Approach The seven steps of hypothesis testing 1 State the null and alternative hypotheses 2 State the significance level 3 State the formula for the test statistic Robb T Koether Hampden Sydney College Hypothesis Testing for Proportions Fri Mar 5 2010 12 46 The Steps of Testing a Hypothesis p Value Approach The seven steps of hypothesis testing 1 State the null and alternative hypotheses 2 State the significance level 3 State the formula for the test statistic 4 Compute the value of the test statistic Robb T Koether Hampden Sydney College Hypothesis
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