Copy of Helper or Hinderer Assignment.docx-2

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University of Minnesota-Twin Cities *

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Statistics

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Apr 3, 2024

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Helper or Hinderer Most college students recognize the difference between naughty and nice, right? What about children less than a year old—do they recognize the difference and show a preference for nice over naughty? In a study reported in the November 2007 issue of Nature 1 , researchers investigated whether infants take into account an individual’s actions towards others in evaluating that individual as appealing or aversive, perhaps laying for the foundation for social interaction. In one component of the study, 10-month-old infants were shown a “climber” character (a piece of wood with “google” eyes glued onto it) that could not make it up a hill in two tries. Then they were alternately shown two scenarios for the climber’s next try, one where the climber was pushed to the top of the hill by another character ( helper ) and one where the climber was pushed back down the hill by another character ( hinderer ). The infant was alternately shown these two scenarios several times. Then the child was presented with both pieces of wood (the helper and the hinderer) and asked to pick one to play with. The researchers found that 14 of the 16 infants chose the helper over the hinderer. In this activity, you will be exploring the following research question: 1 J. K. Hamlin, K. Wynn, & P. Bloom. (2007). Social evaluation by preverbal infants. Nature, 450 , 557– 559.
Before you begin, we would like you to watch the videos that were shown to the infants in the experiment. You can view them here: http://campuspress.yale.edu/infantlab/media/ Helping and hindering habituation events. On each trial, the climber (red circle) attempts to climb the hill twice, each time falling back to the bottom of the hill. On the third attempt, the climber is either bumped up the hill by the helper ( left panel) or bumped down the hill by the hinderer (right panel). Discuss the Following Questions 1. What proportion of the infants in the observed data chose the helper toy? 14 out of 16 chose the helper toy. 2. What does that suggest about the answer to the research question? Explain. This result suggests that kids know the difference between good and bad toys.
Suppose for the moment that the researchers’ conjecture is wrong, and infants do not really show any preference for either type of toy. In other words, infants just randomly pick one toy or the other, without any regard for whether it is the helper toy or the hinderer. 3. Write the statistical hypothesis for the “no preference” model. Infants do not have a preference for either of the toys. their choices are random. 4. If the no preference model is “truth”, how likely do you think it is that 14 out of 16 infants would choose the helper toy? Explain. Based on the no-preference model, both toys have an equal chance of being chosen if the model is true. This can also mean that it is highly un likely but not impossible for the 14/16 infants to choose a helper toy. The “Just-by-Chance” (No Preference) Model Consider the argument that infants have no preference for either the helper or the hinderer. If that argument is true, then you would expect that any infants selecting the helper are only because of random chance—not due to any underlying psychological tendency of infants to prefer helpers to hinderers. The good news is that this “just-by-chance” process (i.e., random chance) can be modeled using the same chance devices that you have been using in the course thus far. Under the assumption of “just by chance”, the process of infants selecting toys can be modeled by randomly selecting either a helper or a hinderer. After the random selection, it can be determined how many infants “chose” the helper. This process can be repeated a large number of times to simulate the percentage of infants selecting the helper under this “no preference” model.
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Summary of the Simulation Process The key to answering the research question in this activity is to determine how likely the observed result (14 of 16 infants choosing the helper) is under the assumption that infants have no preference for either the helper or the hinderer. The “no preference” model is again the “just-by-chance” model— infants randomly select either the helper or hinderer. To determine this likelihood, you will model the process of 16 hypothetical infants making their selections using random chance. Then, you can count how many of these “infants” choose the helper toy. This process can be repeated many times to obtain a distribution of results that would be expected under the “no preference” or “just-by-chance” model. The observed result of 14 of 16 infants choosing the helper can then be evaluated in light of this distribution to determine how likely it would be to obtain such a result (or a more extreme result) under the assumption of random chance. As such, the observed result can provide evidence to help answer the research question. 5. Draw a picture of the sampler (model ) that you will use to generate outcomes from the “just-by-chance” model. In the picture, be sure to (1) indicate the type of sampling device used (mixer, spinner, etc.); (2) label all the elements in your sampling device; (3) label the probability associated with each element; and (4) indicate the Repeat and Draw values you will use.
Simulating Data from the Hypothesized Model In this study, a trial represents each of the 16 infants choosing a toy. The trial ends when 16 toys have been chosen randomly. Carry out a single trial of the simulation in TinkerPlots TM . Plot the outcomes from the trial. 6. What is the statistic from the plot that you will be collecting ? The statistics showed that 6 helper toys were chosen and 10 hinderer toys were chosen. Collect the appropriate statistics. Carry out 499 more trials (500 trials total) of the simulation in TinkerPlots TM . Evaluating the Hypothesized Model Plot the results from the simulation. 7. Sketch a plot of the results below.
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8. Describe the shape, center, and variation for the distribution of results. The graph is symmetrical and has a normal distribution, bell-shaped, with a mean of 7.98. The most common range is 4.73989 to 11.1617. 9. Is the observed result from the original experiment likely or unlikely under the hypothesized model? Explain. The observed result from the original experiment seems to be unlikely under the hypothesized model. Under the hypothesis model, infants are expected not to have been influenced by the fact that the toys are naughty or nice which gives a 50/50 chance to both toys giving more chance to the least selected toy which suggests infants might have a preference. 10. What does your answer to Question #9 suggest about whether infants can notice and react to helpful or hindering behavior observed in others? Explain. Based on my answer to question 9 suggests that infants can notice and react to helpful or hindering toys. It suggests that infants react to social cues and they have a slight understanding of what is going on
around them and the random generator is not influenced by that factor.
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