Childhood obesity: A national health survey weighed a sample of 544 boys aged 6-11 and found that 80 of them were overweight. They weighed a sample of 505 girls aged 6-11 and found that 74 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion of girls who are overweight? Let p₁ denote the proportion of boys who are overweight and let p₂ denote the proportion of girls who are overweight. Use the α = 0.05 level of significance and the critical value method with the table.
(a) State the appropriate null and alternate hypotheses.