Each person in a sample of 87 subjects was asked to imagine that they had just moved to an apartment with two others and that they were shopping for a new appliance. Each subject was asked to create a menu of three brand choices for their roommates; then they were randomly assigned (in equal numbers) to one of three different "goal" conditions-(1) influence roommates to buy a preselected brand, (2) influence roomates to buy a brand of your choice, and (3) no intent to influence roomates. The researcher theorized that the menus created to influence others will likely include indesirable alternative brands. The number of menus in each goal condition that was consistent with the theory was determined. The data are summarized in the accompanying table. Analyze the data in order to determine whether the proportion of subjects who select menus consistent with the theory depends on goal condition. Use a = 0.01. Click the icon to view the data. Specify the null and alternative hypotheses. Ho: The classifications theory consistency and goal condition are independent. Ha: The classifications theory consistency and goal condition are dependent. Find the test statistic. x2 =(Round to the nearest hundredth as needed.)X Data Table Number Number Not Consistent Consistent Goal Condition with Theory with Theory Totals 1. Influence/preselected 18 11 29 brand 2. Influence/own brand 13 16 29 3. No influence 4 25 29 Print Done