The Center for Disease Control has determined that one in 68

The Center for Disease Control has determined that one in 68 children have been identified as being affected by Broad Spectrum Disorders or Autism. A local middle school has determined that out of the 1850 students at the school, thirty-five students are officially documented as having a Broad Spectrum Disorder.

In determining whether this is alarming, the school desires some information. Please answer the following questions and support your answers:

1) Can you consider this a binomial experiment? Explain.

2) In a school this size, how many students would we expect to have a Broad Spectrum Disorder?

3) Assuming that this might be unusual, we wish to quantify the likelihood of having this many affected children in the population. To do this, find the probability of eleven or more students having Broad Spectrum Disorder? (If appropriate, use the normal approximation)

4) Using the information in part 3, make a statement as to how unusual you feel this situation is. In this problem, we are using data to determine likelihood. The importance of this activity is paramount to securing Federal funding for special programs.

Solution