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Perform a Runs Test for Randomness α\alpha = 005 BBBRBRBRRBBBRR\begin{array} { l l l l l l l } B & B & B & R & B & R & B \\R & R & B & B & B & R & R\end{array}

question 34

Essay

Perform a runs test for randomness. Be sure to do the following: Identify the claim mathematically and state the null
and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to
reject the null hypothesis and interpret the decision in the context of the original claim.
-Two poker players are dealt cards in the sequence shown, where B represents a black card and R represents a
red card. Can you conclude that the dealing of cards was not random? Use α\alpha = 0.05. BBBRBRBRRBBBRR\begin{array} { l l l l l l l } B & B & B & R & B & R & B \\R & R & B & B & B & R & R\end{array}


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