7.55 Measured Obesity Over the past several years, the prevalence of overweight and obese children and adolescents has risen, with the most substantial increases observed in economically developed coun- tries. 16 According to the results of the 2004 Canadian Community Health Survey: Nutrition (CCHS), a sub- stantial share of Canadian youth are part of this trend. In 2004, 26% of Canadian children and adolescents aged 2 to 17 were overweight or obese, and 8% were obese.17 Assume that the percentage is decreased to 25% now and a random sample of 100 children is selected.

a. What is the probability that the sample proportion of overweight children exceeds 25%?

b. What is the probability that the sample proportion of overweight children is less than 12%?

c. Would it be unusual to find that 30% of the sampled children were overweight? Explain.