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Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 16 defective parts are found in the sample from machine 1, while 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same proportion of defective parts? Use a = 0.05. (a) Test the hypothesis Ho: P₁ = P2 verses H₁: P₁ P2. What is zo? Round your answer to two decimal places (e.g. 98.76). Zo = (b) Is it reasonable to conclude that both machines produce the same proportion of defective parts?

Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 16 defective parts are found in the sample from machine 1, while 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same proportion of defective parts? Use a = 0.05. (a) Test the hypothesis Ho: P₁ = P2 verses H₁: P₁ P2. What is zo? Round your answer to two decimal places (e.g. 98.76). Zo = (b) Is it reasonable to conclude that both machines produce the same proportion of defective parts?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 16 defective parts are found in the sample from machine 1, while 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same proportion of defective parts? Use a = 0.05. (a) Test the hypothesis Ho: P₁ = P2 verses H₁: P₁ P2. What is zo? Round your answer to two decimal places (e.g. 98.76). Zo = (b) Is it reasonable to conclude that both machines produce the same proportion of defective parts?
Transcribed Image Text:Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 16 defective parts are found in the sample from machine 1, while 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same proportion of defective parts? Use a = 0.05. (a) Test the hypothesis Ho: P₁ = P2 verses H₁: P₁ P2. What is zo? Round your answer to two decimal places (e.g. 98.76). Zo = (b) Is it reasonable to conclude that both machines produce the same proportion of defective parts?
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