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.
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.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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.
Group Reward
Subjects
Successes
Choice of a small toy
Choice of candy
Promise of immediate recess
1
20
13
24
18
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?
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