A production manager is interested to know if the distribution of defective items produced by three

machines are homogeneous. From a random sample of 200 items produced by machine I it was

found that 150 items have no falt, 30 items have one fault and rest of the items have more than one

fault. Of the 180 items produced by the machine II it was found that 85% items have no fault, 10%

items have one fault and rest of the items have more than one fault. From a total of 220 items

produced by machin III, it was found that 205 items have no fault, 10 items have one fault and rest

of the items have more than one fault.

(a) Construct the contigency table considering status of defectives in row and type of machine

in column

(b) What percentage items with one fault produced by each of the machine I and III?

(c) Test at 5% significance level whether the distribution of defective items produced by three

machines are homogeneous or not?