A child psychologist believes that children perform better on tests when they are given perceived freedom of choice. To test this belief, the psychologist carried out an experiment in which 200 third graders were randomly assigned to two groups, A and B. Each child was given the same simple logic test. However, in group B, each child was given the freedom to choose a text booklet from many with various drawings on the covers. The performance of each child was rated as Very Good, Good, and Fair. The results are summarized in the table provided. a) Test, at the 5% level of significance, whether there is sufficient evidence in the data to support the psychologist’s belief. GROUP A B Very Good Performance 32 29 Good 55 61 Fair 10 13 b) Write a short report on your recommendation based on your findings
A child psychologist believes that children perform better on tests when they are given perceived freedom of choice. To test this belief, the psychologist carried out an experiment in which 200 third graders were randomly assigned to two groups, A and B. Each child was given the same simple logic test. However, in group B, each child was given the freedom to choose a text booklet from many with various drawings on the covers. The performance of each child was rated as Very Good, Good, and Fair. The results are summarized in the table provided.
a) Test, at the 5% level of significance, whether there is sufficient evidence in the data to support the psychologist’s belief.
|
|
GROUP |
|
|
|
A |
B |
|
Very Good Performance |
32 |
29 |
|
Good |
55 |
61 |
|
Fair |
10 |
13 |
b) Write a short report on your recommendation based on your findings
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