Hypothesis Testing for Means Lecture 33 Sections 10 1 10 2 Robb T Koether Hampden Sydney College Wed Oct 26 2011 Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 1 43 Outline 1 Homework Review 2 Introduction 3 Hypothesis Testing for the Mean The Hypotheses The Level of Significance The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion 4 Another Example 5 The TI 83 6 Assignment Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 2 43 Outline 1 Homework Review 2 Introduction 3 Hypothesis Testing for the Mean The Hypotheses The Level of Significance The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion 4 Another Example 5 The TI 83 6 Assignment Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 3 43 Homework Review Exercise 9 25 page 595 A new method for detecting a type of cancer has been developed Among 80 adults who have this type of cancer this method failed to detect the cancer in five of the adults Provide a 92 confidence interval estimate for the failure rate for this method Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 4 43 Homework Review Exercise 9 25 page 595 A new method for detecting a type of cancer has been developed Among 80 adults who have this type of cancer this method failed to detect the cancer in five of the adults Provide a 92 confidence interval estimate for the failure rate for this method The sample proportion point estimate for the failure rate is 5 0 0625 p 80 Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 4 43 Homework Review Exercise 9 25 page 595 A new method for detecting a type of cancer has been developed Among 80 adults who have this type of cancer this method failed to detect the cancer in five of the adults Provide a 92 confidence interval estimate for the failure rate for this method The sample proportion point estimate for the failure rate is 5 0 0625 p 80 For a 92 C I 0 08 so 2 0 04 Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 4 43 Homework Review Exercise 9 25 page 595 A new method for detecting a type of cancer has been developed Among 80 adults who have this type of cancer this method failed to detect the cancer in five of the adults Provide a 92 confidence interval estimate for the failure rate for this method The sample proportion point estimate for the failure rate is 5 0 0625 p 80 For a 92 C I 0 08 so 2 0 04 The coefficient is z0 04 invNorm 0 04 1 751 Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 4 43 Homework Review Exercise 9 25 page 595 A new method for detecting a type of cancer has been developed Among 80 adults who have this type of cancer this method failed to detect the cancer in five of the adults Provide a 92 confidence interval estimate for the failure rate for this method The sample proportion point estimate for the failure rate is 5 0 0625 p 80 For a 92 C I 0 08 so 2 0 04 The coefficient is z0 04 invNorm 0 04 1 751 So the confidence interval is r r p 1 p 0 0625 0 9375 p z0 04 0 0625 1 751 n 80 0 625 1 751 0 0271 0 0625 0 0474 Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 4 43 Homework Review Solution Or you could use the TI 83 function 1 PropZInt Enter x 5 n 80 C Level 0 92 The calculator reports the interval 01512 10988 Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 5 43 Outline 1 Homework Review 2 Introduction 3 Hypothesis Testing for the Mean The Hypotheses The Level of Significance The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion 4 Another Example 5 The TI 83 6 Assignment Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 6 43 Introduction We now ask the two basic questions this time about the mean Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 7 43 Introduction We now ask the two basic questions this time about the mean Is a given hypothesis concerning true Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 7 43 Introduction We now ask the two basic questions this time about the mean Is a given hypothesis concerning true What is the value of Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 7 43 Introduction We now ask the two basic questions this time about the mean Is a given hypothesis concerning true What is the value of In most ways Chapter 10 will be like Chapter 9 Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 7 43 Introduction We now ask the two basic questions this time about the mean Is a given hypothesis concerning true What is the value of In most ways Chapter 10 will be like Chapter 9 In one way it will be very different Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 7 43 Outline 1 Homework Review 2 Introduction 3 Hypothesis Testing for the Mean The Hypotheses The Level of Significance The Test Statistic The Value of the Test Statistic The p Value The Decision The Conclusion 4 Another Example 5 The TI 83 6 Assignment Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 8 43 The Seven Steps of Hypothesis Testing 1 State the null and alternative hypotheses Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 9 43 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 Means Wed Oct 26 2011 9 43 The Seven Steps of Hypothesis Testing 1 State the null and alternative hypotheses 2 State the significance level 3 State for formula for the test statistic Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 9 43 The Seven Steps of Hypothesis Testing 1 State the null and alternative hypotheses 2 State the significance level 3 State for formula for the test statistic 4 Compute the value of the test statistic Robb T Koether Hampden Sydney College Hypothesis Testing for Means Wed Oct 26 2011 9 43 The Seven Steps of Hypothesis Testing 1 State the null and alternative hypotheses 2 State the significance level 3 State for formula for the …
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