1. (12 points) In a random sample of 340 cars driven at low altitudes, 46 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed. In an independent random sample of 85 cars driven at high altitudes, 21 of them exceeded the standard. Can we conclude that the proportion of high altitude vehicles exceeding the standard is different than the proportion of low-altitude vehicles exceeding th standard? Use a significance level of 0.05. a. Conduct a hypothesis test by providing work for the following. PREPARE: list the hypothesis CHECK: Verify conditions CALCULATE: Compute the SE and find the p-value. Include a picture of your distribution CONCLUDE: Evaluate the hypothesis and provide a conclusion in the context of the question. b. Create a confidence interval for the difference in proportions and discuss how this interval supports your decision in part a