11:01 Search MAST10010-2022-$2_... Q Page 17 o Page 17 of 30 pages MAST10010 Data Analysis 1 Semester 2, 2022 (b) Conduct a hypothesis test to determine if the proportion of games won by the home team in AFLW (p) differs from 0.5. You should state your hypotheses, calculate an appropriate test statistic, give a range for the P-value, and assess the available evidence in context of the data. Normal with mean = 0 and standard deviation = 1 P( X S X ) 0.800 0.84162 0.900 1.28155 0.950 1.64485 0.975 1.95996 0.990 2.32635 0.995 2.57583 0.999 3.09023 Page 18 of 30 - add any extra pages after page 30 - Page 18 of 30 Page 18 of 30 pages 0= n Dashboard Calendar To Do Notifications Inbox11:01 Search MAST10010-2022-$2_... Q Page Page 16 of 30 pages MAST10010 Data Analysis 1 Semester 2, 2022 Question 14 (8 marks) [2 + 6 = 8 marks Many team sports utilise a 'home and away' structure, where teams play some games at their local (home) ground and travel for other games. Home games are considered an advantage, due to factors such as: a more supportive crowd, familiarity with the local conditions, and (in Australia) not needing to travel long distances/to other timezones. Page 17 of 30 AFLW (Australian Football League Women's) is a sport with a home and away structure. Since the league began in 2017, the home team has won 141 times out of the 261 games with a winning team. (a) This is not a random sample of elite team sporting events with a 'home and away' structure, If our aim is to infer the 'home advantage' in elite sports, can we use this sample? Explain. Page 17 of 30 - add any extra pages after page 30 Page 17 of 30 pages MAST10010 Data Analysis 1 Semester 2, 2022 0= Dashboard Calendar To Do Notifications Inbox