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Sorry, no chi-square We would prefer to learn from teachers who know their subject. Perhaps even preschool children are affected by how knowledgeable they think teachers are. Assign $48$three- and four-year-olds at random to be taught the name of a new toy by either an adult who claims to know about the toy or an adult who claims not to know about it. Then ask the children to pick out a picture of the new toy from a set of pictures of other toys and say its name. The response variable is the count of right answers in four tries. Here are the data:

The researchers report that children who were taught by the teacher claiming to be knowledgeable did significantly better (${\mathrm{χ}}^2=20.4,P<0.05$), Explain why this result isn't valid.

Step by step solution

01

Given information

We need to find the reason for non validity of result.

02

Explanation

We know that

Expected counts are a product of row and column total divided by table total.

The anticipated counts must all be at least five for the chi-square test to work. The table shows that six predicted counts are less than five, indicating that the chi-square test conditions have not been met. As a result, the outcomes aren't reliable.

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