You process creates orthopedic devices with surface flaws 40% of the time. This is an acceptable...

 

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You process creates orthopedic devices with surface flaws 40% of the time. This is an acceptable level given the process you have in place to remove these flaws, but you would have to revise your manufacturing process or removal process if this percentage increases. a. Specify a null and alternative process to determine whether you have an acceptable percentage of orthopedic devices with surface flaws. b. You decide to reject the null hypothesis Ho: p = 0.4 if more than 8 out of 16 devices tested have surface flaws. What is the type I error probability a? c. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis Ho: p = 0.4 if you want a type I error probability a that is below 5%? d. You hope your test is powerful enough to detect a 10% increase in surface flaws, so you specify the alternative to be H₁: p=0.5. What is the type II error probability ẞ if you decide to reject the null hypothesis when more than 8 out of 16 devices tested have surface flaws? e. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis and accept the alternative hypothesis H₁: p = 0.5 if you want a type II error probability ß below 5%? You process creates orthopedic devices with surface flaws 40% of the time. This is an acceptable level given the process you have in place to remove these flaws, but you would have to revise your manufacturing process or removal process if this percentage increases. a. Specify a null and alternative process to determine whether you have an acceptable percentage of orthopedic devices with surface flaws. b. You decide to reject the null hypothesis Ho: p = 0.4 if more than 8 out of 16 devices tested have surface flaws. What is the type I error probability a? c. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis Ho: p = 0.4 if you want a type I error probability a that is below 5%? d. You hope your test is powerful enough to detect a 10% increase in surface flaws, so you specify the alternative to be H₁: p=0.5. What is the type II error probability ẞ if you decide to reject the null hypothesis when more than 8 out of 16 devices tested have surface flaws? e. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis and accept the alternative hypothesis H₁: p = 0.5 if you want a type II error probability ß below 5%? You process creates orthopedic devices with surface flaws 40% of the time. This is an acceptable level given the process you have in place to remove these flaws, but you would have to revise your manufacturing process or removal process if this percentage increases. a. Specify a null and alternative process to determine whether you have an acceptable percentage of orthopedic devices with surface flaws. b. You decide to reject the null hypothesis Ho: p = 0.4 if more than 8 out of 16 devices tested have surface flaws. What is the type I error probability a? c. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis Ho: p = 0.4 if you want a type I error probability a that is below 5%? d. You hope your test is powerful enough to detect a 10% increase in surface flaws, so you specify the alternative to be H₁: p=0.5. What is the type II error probability ẞ if you decide to reject the null hypothesis when more than 8 out of 16 devices tested have surface flaws? e. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis and accept the alternative hypothesis H₁: p = 0.5 if you want a type II error probability ß below 5%? You process creates orthopedic devices with surface flaws 40% of the time. This is an acceptable level given the process you have in place to remove these flaws, but you would have to revise your manufacturing process or removal process if this percentage increases. a. Specify a null and alternative process to determine whether you have an acceptable percentage of orthopedic devices with surface flaws. b. You decide to reject the null hypothesis Ho: p = 0.4 if more than 8 out of 16 devices tested have surface flaws. What is the type I error probability a? c. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis Ho: p = 0.4 if you want a type I error probability a that is below 5%? d. You hope your test is powerful enough to detect a 10% increase in surface flaws, so you specify the alternative to be H₁: p=0.5. What is the type II error probability ẞ if you decide to reject the null hypothesis when more than 8 out of 16 devices tested have surface flaws? e. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis and accept the alternative hypothesis H₁: p = 0.5 if you want a type II error probability ß below 5%? You process creates orthopedic devices with surface flaws 40% of the time. This is an acceptable level given the process you have in place to remove these flaws, but you would have to revise your manufacturing process or removal process if this percentage increases. a. Specify a null and alternative process to determine whether you have an acceptable percentage of orthopedic devices with surface flaws. b. You decide to reject the null hypothesis Ho: p = 0.4 if more than 8 out of 16 devices tested have surface flaws. What is the type I error probability a? c. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis Ho: p = 0.4 if you want a type I error probability a that is below 5%? d. You hope your test is powerful enough to detect a 10% increase in surface flaws, so you specify the alternative to be H₁: p=0.5. What is the type II error probability ẞ if you decide to reject the null hypothesis when more than 8 out of 16 devices tested have surface flaws? e. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis and accept the alternative hypothesis H₁: p = 0.5 if you want a type II error probability ß below 5%? You process creates orthopedic devices with surface flaws 40% of the time. This is an acceptable level given the process you have in place to remove these flaws, but you would have to revise your manufacturing process or removal process if this percentage increases. a. Specify a null and alternative process to determine whether you have an acceptable percentage of orthopedic devices with surface flaws. b. You decide to reject the null hypothesis Ho: p = 0.4 if more than 8 out of 16 devices tested have surface flaws. What is the type I error probability a? c. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis Ho: p = 0.4 if you want a type I error probability a that is below 5%? d. You hope your test is powerful enough to detect a 10% increase in surface flaws, so you specify the alternative to be H₁: p=0.5. What is the type II error probability ẞ if you decide to reject the null hypothesis when more than 8 out of 16 devices tested have surface flaws? e. What is the minimum number of devices with surface flaws out of 16 tested that should lead you to reject the null hypothesis and accept the alternative hypothesis H₁: p = 0.5 if you want a type II error probability ß below 5%?

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a Null The percentage of orthopedic devices with surface flaws is 40 Alt ernative The pe rcent age of orthope dic d evices w ith su rfa c e f laws is g r eater th an 4 0 Th e null h ypothesi s wou ld ... View the full answer