Part 2 [4 marks] In order to build a new recreation centre, at least 65% of voters in a local municipal region must approve of the project. A survey of 218 of the voters finds that 125 are in favour of the project. (a) Calculate a 95% confidence interval (i.e. a two-sided confidence interval) for the true proportion of municipal voters in favour of the project. Copy and paste the appropriate R command and output into your document. In an additional line, clearly state the values you get for the confidence interval from your output. (b) Test the research hypothesis that the proportion of voters in favour of the project is greater than 65%. Copy and paste the appropriate R command and output into your document. (c) Clearly state the p-value you found from part (b). Using the significance level a = 0.05, should we reject the null hypothesis? (d) Write a sentence stating your conclusion of the hypothesis test you just performed. That is, write your conclusion regarding building the recreation centre in plain language so that a non-statistician could understand