Discuss whether the conclusion is valid or not?
A math teacher introduces a mathematics game to her 20 grade 12 students in order to teach a new concept. She finds a strong positive correlation between the use of the game and mastering of the concept. She concluded that the game would teach the concept to all students in high school.
The teacher introduces the mathematics game to 20 grade 12 students that she teaches. There is a strong correlation between the use of the game and mastering of the concept. Based on this a conclusion is made that using the game would benefit all students in high school in understanding the concept.
This is not a valid conclusion. To start with compared to the total population of students in high school, the sample size of 20 students is very small. Also, high school students are not chosen at random to study the effectiveness of the game. It is highly likely that it is more to do with the style in which the teacher uses the game or the students could have some prior knowledge of the concept for which the game is being used.
To accurately determine whether the game is actually beneficial, the teacher should expand the sample size and choose high school students at random from several schools. A double blind study can also be used to provide an accurate conclusion. This would involve the evaluation of students half of which have used the game and the other half that have not without the teacher being aware of where the game has been used and where it has not.