In a sample of adolescents 257 participants reported wearing

In a sample of adolescents, 257 participants reported wearing glasses, 133 participants reported wearing contact lenses, and 661 participants reported wearing neither glasses nor contact lenses. A chi-square goodness of fit test was performed in order to determine whether there was an even number of participants in each vision category. The reported p value for this test was .007. Is this a statistically significant finding? If so, how would you interpret the results?

Solution

In a sample of adolescents, 257 participants reported wearing glasses, 133 participants reported wearing contact lenses, and 661 participants reported wearing neither glasses nor contact lenses. A chi-square goodness of fit test was performed in order to determine whether there was an even number of participants in each vision category. The reported p value for this test was .007. Is this a statistically significant finding? If so, how would you interpret the results?

The reported p value for this test was .007.

If we set the level of significance 0.05 or 0.01, the calculated P=0.00t < 0.01 level.

The null hypothesis is rejected.

This is a statistically significant finding.

We conclude that number of participants in each vision category are not same or not equal.