QUESTION A6 (5 marks) Before the analogue transmissions were completely turned off on 31st October 2019 and switched to full myFreeview Digital TV broadcast using DVB-T2 technology, Malaysian Communications and Multimedia Commission (MCMC) found that 160 household out of 500 in one part of the central peninsular states have not been installed with myFreeview Digital TV. Estimate the actual proportion of the household in Malaysia with myFreeview Digital TV at 99% confidence level. QUESTION A7 (5 marks) Mobile phone manufacturers and marketers are facing hyper competition in the world mobile market. Suppose as a market analyst, you wished to see whether consumers' preference is equally distributed among six mobile phone brands (i.e. Samsung, Apple, Xiaomi, Huawei, Sony and XY). A sample of 120 people provided these data in Table 1: Table 1. Consumers' preferences Samsung Apple Xiaomi Huawei Sony XY 32 34 18 16 12 8 Compute the value of chi-square test statistic. (5 marks) QUESTION A8 (5 marks) Momoi Fishing is the pioneer of fishing line developments. In 1951, it became the first company in the world to adopt synthetic fibre as the material for fishing lines. Momoi Fishing began manufacturing nylon monofilaments since around 1955, shortly after the popularization of synthetic fibre. Since then, through repeated failure and success, it acquired the technology to produce high quality synthetic fibre. Momoi Fishing found that the mean breaking strength of 8 kilograms with a standard deviation of 0.5 kilogram. If a random sample of 50 lines is tested and found to have a mean breaking strength of 7.8 kilograms. (a) State the null and alternative hypotheses. (2 marks) (b) Find the value of test statistic