Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a given time period and found that 10% of all lenses had defects of some type. Looking at the type of defects, they found in a three-month time period that out of 34,024 defective lenses, 5840 were due to scratches. Are there more defects from scratches than from all other causes? State the Type I and Type II errors in this case. State the Type I error. Concluding that the proportion of defects from scratches is 10%, when in reality it is less than 10%. Concluding that the proportion of defects from scratches is 10%, when in reality it is higher than 10%. Concluding that the proportion of defects from scratches is less than 10%, when the proportion is actually 10%. Concluding that the proportion of defects from scratches is higher than 10%, when the proportion is actually 10%. State the Type II error. Concluding that the proportion of defects from scratches is 10%, when in reality it is less than 10%. Concluding that the proportion of defects from scratches is 10%, when in reality it is higher than 10%. Concluding that the proportion of defects from scratches is higher than 10%, when the proportion is actually 10%. Concluding that the proportion of defects from scratches is less than 10%, when the proportion is actually 10%.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a given time period and found that 10% of all lenses had defects of some type. Looking at the type of defects, they found in a three-month time period that out of 34,024 defective lenses, 5840 were due to scratches. Are there more defects from scratches than from all other causes? State the Type I and Type II errors in this case.

State the Type I error.

Concluding that the proportion of defects from scratches is 10%, when in reality it is less than 10%.
Concluding that the proportion of defects from scratches is 10%, when in reality it is higher than 10%.
Concluding that the proportion of defects from scratches is less than 10%, when the proportion is actually 10%.
Concluding that the proportion of defects from scratches is higher than 10%, when the proportion is actually 10%.

State the Type II error.

Concluding that the proportion of defects from scratches is 10%, when in reality it is less than 10%.
Concluding that the proportion of defects from scratches is 10%, when in reality it is higher than 10%.
Concluding that the proportion of defects from scratches is higher than 10%, when the proportion is actually 10%.
Concluding that the proportion of defects from scratches is less than 10%, when the proportion is actually 10%.

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