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Question 3 Tom is a guitarist and he always wonders which colour of guitar body is most popular. Based on his experience, he estimated that 50% people would like red, 30% people would like black, 10% people would like Sky blue, and the rest would like white. He asks his followers on Twitter which colour do they like most for their guitars. Below is the summary of the result of the Twitter survey: Red Black Sky blue White Twitter survey (number of votes received) 478 312 113 97 Test, at the 5% level of significance, is there sufficient evidence that the Twitter survey result is different from Tom's estimate. (The test report must include (i) null hypothesis and alternative hypothesis, (ii) rejection region, (iii) calculation of test statistics, and (iv) conclusion.) (Total: 10 marks)