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 Subjects 20 Reward Successes Choice of a small toy Choice of candy 1 13 24 18 3 Promise of immediate recess 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.

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. 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.
Reward
Group
1
Subjects
20
Successes
Choice of a small toy
Choice of candy
Promise of immediate recess
13
2
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.
Transcribed Image Text:. 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. Reward Group 1 Subjects 20 Successes Choice of a small toy Choice of candy Promise of immediate recess 13 2 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 x = 0.847. Calculate the P-value.
(d) Interpret the P-value.
(e) What conclusion would you draw?
Transcribed Image Text:(c) The chi-square test statistic is x = 0.847. Calculate the P-value. (d) Interpret the P-value. (e) What conclusion would you draw?
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