8.20 Whole grain versus regular grain? 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 86 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 48 children. You want to examine the possibility that the children are equally likely to choose each type of snack.

1. (a) Formulate the null and alternative hypotheses for this setting.

2. (b) Are the guidelines for using the large-sample significance test satisfied for testing this null hypothesis? Explain your answer.

3. (c) Perform the significance test and summarize your results in a short paragraph.