The quality control department of a motorcycle company classifies new motorcycles according to the number of defective components per motorcycle at an initial inspection. An improvement to the production process has been implemented, and, hopefully, there will be a change from the historical defective distribution: π1 = .80, π2 = .10, π3 = .05, π4 = .03, and π5 = .02. A random sample of 300 motorcycles produced under the new system is classified as follows:

At the a = .05 level, does there appear to be a change in the historical proportions of defectives?

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Number of DefectivesNumber of Motorcycles, n, 238 32 12 13 4 or more Total 300