A group of researchers is interested in middle school students and their willingness to appear to stand out. A random sample of 330 middle school students is gathered, and the researchers ask them to wear bright orange shoes to school for a day. In the sample of 330 students, 259 were willing to wear the bright orange shoes. Estimate the overall proportion of middle school students that would be willing to wear bright orange shoes to school for the day.  Use a 98% confidence level.

a)  State the parameter of interest.  Verify that the necessary conditions are present in order to carry out the procedure.

b)  Find the critical value and standard error.

Critical Value:     Standard Error:

c)  Find the confidence interval:  (,) 

d)  Interpret the 98% confidence interval in context.