Imagine you are part of a research team investigating the preferences of customers in a local cafe with respect to their choice of beveragescoffee, tea, and juice. The team collects data on the beverage choices of customers, expecting that the distribution will follow a certain pattern based on historical preferences. The team wants to assess whether the observed distribution of beverage choices among customers in the cafe aligns with the expected distribution. Explain the steps involved in conducting the test. Discuss how the team would formulate the null and alternative hypotheses, choose the test statistic, and interpret the results.

In addition to beverage preferences, the team is also interested in exploring whether there is an association between customers' beverage choices and their seating preferences within the cafe (indoor or outdoor). Outline the steps for conducting a test for independence in this scenario. Clearly define how the team would set up the null and alternative hypotheses, choose the test statistic, and interpret the results. Discuss the implications of any observed association between beverage choices and seating preferences.