Perform a Runs Test for Randomness $$\alpha$$ = 005 B

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.
-A pitching machine throws baseballs that are either strikes (S)or balls (B). A coach records whether each ball
thrown during batting practice is a strike or a ball. Can you conclude that the sequence of pitches is random?
Use $$\alpha$$ = 0.05. $$\begin{array} { l l l l l l l l l l } \text { B } & \text { B } & \text { S } & \text { B } & \text { S } & \text { S } & \text { B } & \text { B } & \text { S } & \text { B } \\\text { B } & \text { B } & \text { B } & \text { S } & \text { B } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S } \\\text { B } & \text { B } & \text { B } & \text { B } & \text { S } & \text { B } & \text { B } & \text { S } & \text { B } & \text { B } \\\text { B } & \text { S } & \text { S } & \text { S } & \text { B } & \text { S } & \text { S } & \text { S } & \text { B } & \text { B } \\\text { B } & \text { B } & \text { B } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S } & \text { S }\end{array}$$ B