We would like to estimate the true proportion of Manitobans who support Premier's actions during 20212022 COVlD19 pandemic. In a random sample of 450 Manitobans, 198 of them say they support Premier's actions. . Conduct a hypothesis test at the 5% level of significance to determine if there is sufficient evidence that less than 50% Manitobans support the premier's actions. Provide the following: (a) the null and alternative hypothesis of the test? (1 mark) (b) test statistic value, please also indicate type of test being used (1 or t) (2 marks) (c) Pvalue (1 mark) (d) conclusion [1 mark) (e) What would be the width of a 95% confidence interval for the true proportion of Manitobans who support the premier's actions? (2 marks)