Sociologists and sports psychologists have noticed that in many sports, the athletes who make it to the professional level in their respective sport were the older participants (that is, their birthdate is early in the "sport year") in the sport as a youth. This phenomenon has been noticed around the world in various sports such as soccer (Europe), hockey (Canada), and baseball (USA). In youth baseball leagues the "sport year" begins on Aug. 1, so children born in August are the older participants. In a random sample of 250 major league baseball players born since 1975, 35 were born in the month of August. National demographic statistics show that 9% of births in the general population occur in August.

Question: Is there a higher percentage of professional baseball players born in Augustthan in the general population? Use a 95% confidence interval to answer the question and explain.