In the Michigan Lottery Daily3 Game, twice a day a three-digit integer is generated one

Chapter 9, Problem 9.1-3

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In the Michigan Lottery Daily3 Game, twice a day a three-digit integer is generated one digit at a time. Let \(p_{i}\) denote the probability of generating digit i, \(i=0,1, \ldots, 9\). Let \(\alpha=0.05\), and use the following 50 digits to test \(H_{0}: p_{0}=p_{1}=\cdots=p_{9}=1 / 10\):

\begin{array}{llllllllll} 1 & 6 & 9 & 9 & 3 & 8 & 5 & 0 & 6 & 7 \\ 4 & 7 & 5 & 9 & 4 & 6 & 5 & 6 & 4 & 4 \\ 4 & 8 & 0 & 9 & 3 & 2 & 1 & 5 & 4 & 5 \\ 7 & 3 & 2 & 1 & 4 & 6 & 7 & 1 & 3 & 4 \\ 4 & 8 & 8 & 6 & 1 & 6 & 1 & 2 & 8 & 8 \end{array}\)

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