Question

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 (${\chi }^2=20.4,P<0.05$), Explain why this result isn't valid.

Short answer

The result is not valid because the five counts are less than the six expected ones.

Step-by-step solution

Given information

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

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.