3. (8 marks) Mcdonalds reported that the mean sales of burger per day per outlet was 68 hundred thousand. You wonder whether Hong Kong's sales will be higher or not. A sample of 36 outlet show that the sample mean was 72 with a sample standard deviation of 12. a. Formulate the null and alternative hypothesis. b. At a = 0.05, using the critical value approach, do the sample result support that Hong Kong sales is higher than the average? 4. (10 marks) Suppose a coin is tossed 10 times and we get 7 heads. We want to test whether the coin is fair or not at the 10% level. a. What is our null and alternative hypothesis? h. What kind of distribution do we have? C. If the null hypothesis is true, what is the probability that we get 7 or more heads? d. Can we conclude whether this is a fair coin or not? 5. (8 marks) Given the new Hong Kong- Zhuhai- Macau bridge targets mainly business travelers and we expect that 70% or more of the travelers are business travelers. Business traveler are identified as those who travel with their laptop computers. In a survey of 567 travelers 389 were found to bring their laptop computers with them. a. Set up the null hypotheses and the alternative hypothesis that we are testing. b. What is the sample proportion? C. What is the p-value? d. What is the conclusion, if the level of significance (a = 0.05)