Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a given time period and found that 12% 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 34,544 defective lenses, 5865 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 higher than 12%, when the proportion is actually 12%. O Concluding that the proportion of defects from scratches is 12%, when in reality it is less than 12%. O Concluding that the proportion of defects from scratches is 12%, when in reality it is higher than 12%. O Concluding that the proportion of defects from scratches is less than 12%, when the proportion is actually 12%. State the Type II error. Concluding that the proportion of defects from scratches is 12%, when in reality it is less than 12%. O Concluding that the proportion of defects from scratches is less than 12%, when the proportion is actually 12%. Concluding that the proportion of defects from scratches is higher than 12%, when the proportion is actually 12%. O Concluding that the proportion of defects from scratches is 12%, when in reality it is higher than 12%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Question
Eyeglassomatic manufactures eyeglasses for different
retailers. They test to see how many defective lenses they
made in a given time period and found that 12% 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 34,544 defective lenses, 5865 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 higher than 12%, when the proportion is
actually 12%.
O Concluding that the proportion of defects from
scratches is 12%, when in reality it is less than 12%.
Concluding that the proportion of defects from
scratches is 12%, when in reality it is higher than
12%.
O Concluding that the proportion of defects from
scratches is less than 12%, when the proportion is
actually 12%.
State the Type II error.
Concluding that the proportion of defects from
scratches is 12%, when in reality it is less than 12%.
Concluding that the proportion of defects from
scratches is less than 12%, when the proportion is
actually 12%.
Concluding that the proportion of defects from
scratches is higher than 12%, when the proportion is
actually 12%.
O Concluding that the proportion of defects from
scratches is 12%, when in reality it is higher than
12%.
Transcribed Image Text:Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a given time period and found that 12% 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 34,544 defective lenses, 5865 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 higher than 12%, when the proportion is actually 12%. O Concluding that the proportion of defects from scratches is 12%, when in reality it is less than 12%. Concluding that the proportion of defects from scratches is 12%, when in reality it is higher than 12%. O Concluding that the proportion of defects from scratches is less than 12%, when the proportion is actually 12%. State the Type II error. Concluding that the proportion of defects from scratches is 12%, when in reality it is less than 12%. Concluding that the proportion of defects from scratches is less than 12%, when the proportion is actually 12%. Concluding that the proportion of defects from scratches is higher than 12%, when the proportion is actually 12%. O Concluding that the proportion of defects from scratches is 12%, when in reality it is higher than 12%.
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