14.The president of cross country runners in South Carolina wanted to estimate the true
proportion, at a 90% confidence, the proportion of all high school cross ountry runners in SC
that run under a five minute mile. A random sample of 80 runners was taken and it was found
that 60 (75% of the sample) can run under a five minute mile. Help the president
a. Construct a 90% confidence interval for this situation.
b. What would happen to the interval if I changed the confidence level to 80%? May help to
be specific