1.It is fairly-well known that perception of weight by adolescents does not always agree with their actual weight. What is less clear is whether actual weight differs by gender. For this purpose, a study was performed among students in a local high school (143 boys, 143 girls), where students provided their actual weight by self-report. The students were classified as underweight if their body mass index (BMI, kg/m²) ) was less than 18.0 , as normal if BMI was18.0 and<25.0, and overweight if their BMI was25.0. Based on these criteria, 17 of the girls were underweight, 113 were or normal weight, and 13 were overweight. For the boys, 7 were underweight, 115 were normal weight, and 21 were overweight. Use these data to answer the questions below.

a.Conduct the appropriate statistical test to determine if there is an association between gender and weight classification, assuming=0.05. What do you conclude based on the test results? Show all calculations.[2 Marks]

b.What is the p-value for the test you calculated in question a? Does this p-value support the conclusion you reached in question a? Explain.[1 Mark]