The Australian Government is interested in the proportion of residents who are either Satisfied or Very Satisfied with current Government Climate Change policies. They believe that they have the support of two-thirds of the population. You are to conduct a hypothesis test to test their Claim. The random sample of 300 residents shows that 68.3% were either Satisfied or Very Satisfied with the current Government policies. Write down the null and alternative hypotheses in both symbols and words for the above situation. H0: (Symbols) H0: (Words) H1: (Symbols) H1: (Words) Using a level of significance () of 10%: State the critical value(s) What is your decision rule? Calculate the value of the test statistic. Show your calculations. State your decision then, in plain language, your conclusion. Explain your reasoning. Based on your answer to part (d), would the p-value be less than 10%? Explain why/why not. (No calculations required) With hypothesis testing, there is always the risk that you will reach an incorrect conclusion. Based on your answer to part (d), what type of error (Type I or Type 2 error) could be made here? Explain what this means in the context of the Australian Government's claim. (No calculations required)