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Geoff has been running a restaurant in the city for many years. He knows from experience that the proportion of customers that leave tips at this restaurant is 0.61. Geoff has recently opened a restaurant in a suburban area. It seems that tipping habits are different in the suburbs: Geoff believes that the proportion of customers that tip at his new restaurant (It) may be different to 0.61. He conducts a hypothesis test to nd out. The null and alternative hypotheses are: H0: 11: = 0.61 HA: 11: 0.61 Geoff takes a random sample of 112 customers and notes whether or not they leave a tip. In this sample, the proportion of people that leave a tip is 0.66. You may nd this standard normal table useful throughout this question. a) Calculate the test statistic (2). Give your answer to 2 decimal places. 2: b) Calculate the P-value. Give your answer as a decimal to 4 decimal places. p=