You will need to use Minitab to answer this question. The Minitab file that you require for this question should be downloaded from the 'Assessment' area on the module website. One of your module team members, Dr Kaustubh Adhikari, conducts research on the genetics of hair. In one such study, he assessed the hair shape of participants in his cohort, who come from five different countries of Latin America. The number of people with a particular hair shape for each of the countries, as seen in the study, is given in Table 4. Table 4 Hair Shape Country Straight Wavy Curly Total Brazil 654 585 308 1547 Chile 894 532 94 1520 Colombia 603 639 383 1625 Mexico 740 678 195 1613 Peru 394 366 137 897 3285 2800 1117 7202 Total The data are to be analysed using a chi-squared test for contingency tables. The Minitab worksheet HairShape.mwx contains this data. (a) Check whether the table is a contingency table by checking whether it meets all three criteria. Explain your reasons in the context of this investigation. (b) Specify the null and alternative hypotheses associated with the x test. (c) Perform the x2 test using Minitab. Include a copy of the Minitab output in your answer showing the table of observed and expected frequencies (with appropriate row and column labels), as well as the test results. (d) Calculate by hand the expected value for the number of people with curly hair in Brazil. Show your working. Your result should match the expected value provided in the Minitab output. (e) Explain why the x2 test that you performed in part (c) is valid in this case. (f) Minitab gives the degrees of freedom associated with this x test as 8. Show how this value arises. (g) Interpret the results of the x2 test, making specific references to the context. Country Straight Wavy Curly Brazil 654 585 308 Chile 894 532 94 Colombia 603 639 383 Mexico 740 678 195 Peru 394 366 137