Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made the time period of January 1 to March 31. The table gives the defect and the number of defects. Do the data support the notion that each defect type occurs in the same proportion? Test at the 5% level.Number of Defective LensesDefect typeNumber of defectsScratch1866Right shaped - small1935Flaked1979Wrong axis1921Chamfer wrong1864Crazing, cracks1991Wrong shape2004Wrong PD1895Spots and bubbles1917Wrong height1885Right shape - big1875Lost in lab1886Spots/bubble - intern1935 State the hypotheses.H0: Each defect type in the same proportion.Ha: Each defect type in the same proportion.Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to three decimal places.χ2 = Calculate the p-value. Round to four decimal places.p-value = State your decision.Since p-value 0.05, H0.Interpret the results.At the 5% signficance level there enough evidence to conclude that each defect type in the same proportion.

Answered: Eyeglassomatic manufactures eyeglasses…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made the time period of January 1 to March 31. The table gives the defect and the number of defects. Do the data support the notion that each defect type occurs in the same proportion? Test at the 5% level.

Number of Defective Lenses

Defect type	Number of defects
Scratch	1866
Right shaped - small	1935
Flaked	1979
Wrong axis	1921
Chamfer wrong	1864
Crazing, cracks	1991
Wrong shape	2004
Wrong PD	1895
Spots and bubbles	1917
Wrong height	1885
Right shape - big	1875
Lost in lab	1886
Spots/bubble - intern	1935