A study of young children was designed to increase their intake of whole-grain, rather than regular-grain, snacks. At the end of the study, the 82 children who participated in the study were presented with a choice between a regular-grain snack and a whole-grain alternative. The whole-grain alternative was chosen by 49 children. You want to examine the possibility that the children are equally likely to choose each type of snack.
a) Perform a significance test at a level of 5%. Show all six steps with formulas and numbers substituted in.
b) Find a 95% confidence interval. Show formulas and calculations with numbers substituted in.