Teste de Hipoteses - Probabilidade e Distribuicao Binomial para Avaliacao de Falhas

The observed value is 8 The null hypothesis H0 the car is faulty H1 the car is not faulty The car tests 7 parts Each part has probability 05 of being faulty and independently tested SOLUTION Let X be the number of tests that fail Then X is binomial distributed with n 7 and p 05 As 8 is outside the range of the binomial distribution it suggests the car is not faulty The significance level alpha 005 Reject H0 if PX 8 005 This gives us PX 8 0 since X cannot be 8 which is less than 005 Degrees of freedom 7 1 6 The test statistic chi2 sum observed expected2 expected The observed is X 8 The expected is np 7 05 Summary chi2 calculation and deciding to reject or not