It can be difficult to motivate preschoolers to practice writing letters. Perhaps a reward system will do the trick, but what type of rewards work? Here are the data from a randomized experiment that compared three treatments among children in preschool. A "success" means that the child completed a worksheet in which they traced the entire alphabet in one sitting. Group Reward Subjects Successes Choice of a small toy Choice of candy Promise of immediate recess 20 13 24 18 3 16 10 (a) Which chi-square test is appropriate in this setting? Explain your reasoning. (b) State the appropriate hypotheses for performing a chi-square test in this setting. (c) The chi-square test statistic is x² = 0.847. Calculate the P-value.

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A: We have given that Mean(µ) = 72.6Standard deviations (σ) = 4.78X ~ N (µ, σ )= N(72.6, 4.78)

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A: (g) n=50, P(∑i=150Xi<1124.54)=?

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