3. With the Ontario General Election coming up this June, you've become interested in the political opinions and behaviours of your fellow Ontarians. To nd out more, you've decided to apply your newfound skills of statistical estimation. (Note: the survey data in this question is hypothetical; you do not need to work with a real dataset in SPSS.) I 1 marks a. Let's say that a survey of 1,000 randomly selected Ontario adults indicates that 62 percent of Ontarians intend to vote in the upcoming elections. The poll has a margin of error of 3.1 percentage points, 19 times out of 20. As you know, the margin of error is the same thing as a condence interval. Using the above information, please ll in the blanks: 2 marks We are condent that, in the population, Ford's average approval is between and points. b. Let's say that the above survey asks respondents whether they approve of Ford, on a scale that ranges 'om 0 (complete disapproval) to 100 (complete approval). The sample mean is 42, with a standard deviation of 20. What is the stande error? Please show your work. I point c. Please generate a 95% condence interval around the sample mean to obtain a population estimate (include the upper and lower bounds). Please round to two decimal places, show your work, and write a sentence as follows with your results: \"We are 95% condent that, in the population, Ford's average approval is between [CI lower bound] and [CI upper boundl.\" 3 points d. What is the probability that someone's approval of Ford is a score of 40 or lower? Please round to two decimal places, show your work and write your nal answer in sentence form. 3 marks Hint: Calculate the z-score for a value of 40, then look up the probability xif using your ztable. Recall the formula for the z-score: z = Here is a link to the z-table: hps/wwwztablenet/ e. Does the true distribution of Ford's approval in the population need to be normal in for us to estimate its average level? Why I why not? 2 points 5