The results of a study conducted by Pepsi Inc. to determine its marketing strategy for the upcoming year is presented below. The following contingency table presents a summary of the responses from 450 people to two questions: “Which age category do you fall in, under 30 years or 30 years of age and over?” and “Which beverage do you prefer: Pepsi, Coke, or other?” So for instance the number 70 in the contingency table indicates that out of 450 people, 70 were under 30 years of age and chose Pepsi as their beverage of choice. BEVERAGE OF CHOICE AGE Pepsi Coke other total under 30 years 70 80 100 250 30 or over 50 70 80 200 Total 120 150 180 450 At a 5% level of significance, is there evidence of a significant difference between the proportion of respondents under 30 years who chose Pepsi and the proportion of respondents under 30 years who chose Coke? Use the p-value approach. Hypotheses: Decision Rule: Test Statistic: Conclusions: Construct a 95% confidence interval to estimate the difference between the population proportion of over 30 year olds who prefer Pepsi and over 30 year old who prefer Coke.