Question: Some device has three components which may break down independently. After inspection of 1000 devices which had at least one of the components broken after
Some device has three components which may break down independently. After inspection of 1000 devices which had at least one of the components broken after 1 year of work, it was found out that 670 of those devices had only one component broken, 287 had two components broken, and 43 had three components broken. The manufacturer claims that the probability of a breakage of a component after 1 year of work is 20%. Use an appropriate a test to verify the null hypothesis that the breakage probability is indeed 20%, and find the p-value of the test.
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