As children grow they develop “representational insight” (a connection between an object and a symbol for...
As children grow they develop “representational insight” (a connection between an object and a symbol for that object). In an experiment, 24-month old children are shown a video of a toy being placed under 1 of 4 randomly placed boxes in a room. They were then taken to the room and instructed to find the toy. Investigators reasoned that children with “representational insight” should pick the correct box on the first try. Of the 57 randomly chosen children in the study, 23 chose the correct box on the first try.
A: What is the population we could generalize this study to?
(1pt) The population is all 24 month old children
B: What is the sample proportion (p-hat)? (1pt)
X/N=.4035 (p=hat)
C: Find a 95% confidence interval for the true population proportion. (2pt)
Significance level .05
Z test=2.68> 1.64
D: Clearly interpret the interval in context. (3pt)
Since Z= 2.68> 1.64 which means it can be concluded that the null hypothesis is rejected. There is enough evidence to claim that there is greater than a .25 chance to get the box on the first try
E. Does it appear that the kids are doing better than guessing? Why? (2pt)
There is enough evidence to claim that there is greater than a .25 chance to get the box on the first try. This means that they are doing better job than guessing
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As children grow they develop “representational insight” (a
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web work wnd they are all incorrect.
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