Package design is an important marketing tool, especially when marketing to children. The same food was presented to children using three different packaging designs. Each child was asked to select his or her favourite. In a taste test among 243 children, 55 selected package A as tasting best, 112 selected package B as tasting best, and 76 selected package C as tasting best. Test the hypothesis that package design influences taste preference

Test the hypothesis at the 5% significance level ( = 0.05) using the 5-step hypothesis testing procedure (show ALL steps). Make sure to clearly state the null and alternative hypotheses in formal symbol notation (or in words if formal symbol notation is not appropriate). Show your work. Show the formula and all steps of the calculations and not just the final answer. Round all values to 2 decimal places. If ANOVA is the appropriate test, you must show the complete ANOVA summary table.