A machine is supposed to produce random digits. Bob thinks that the machine is not fair and that the probability of it producing the digit 0 is less than $$\(\frac{1}{10}\)$$. In order to test his suspicion he notes the number of times the digit 0 occurs in 30 digits produced by the machine. He carries out a test at the  $$\(10 \%\)$$ significance level. It is now given that the machine actually produces a 0 once in every 40 digits, on average.  Explain the meaning of a Type II error in this context. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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