Help needed with detailed explanations

(20 points) To tip or not to tip? A study of tipping behaviors examined the relationship between the color of the shirt worn by the server and whether or not the customer left a tip. a) Here are data for 200 customers observed in the study. They are also in the accompanying workbook. Black White Red Tip 28 25 31 No Tip 48 41 27 Use a Chi-square test to answer the question: Is tipping independent of shirt color? i) Give the appropriate null and alternative hypothesesi) Give all the steps of the hypothesis test for these data. Include the test statistic, degrees of freedom, p-value and the decision ii) Give the conclusion in context. b) Now assume that the proportions of tippers and non-tippers are the same, but the study was based on twice as many customers, so that the data were as shown: Black White Red Tip 56 50 62 No Tip 96 82 54 Repeat the hypothesis test for the new data. (Your hypotheses will be the same, but some calculations will be different) i) What if anything changed? Does that make sense? Why, or why not