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Posted: July 22nd, 2024
Please show a step by step solutionProblem 7 (5 points)A nationwide poll of 1000 likely voters by the Public Policy Polling group indicated that 53% are in favor of passing Amendment 1 to the North Carolina State Constitution.a. Find a 95% confidence interval for the proportion of all likely votes that would vote in favor of Amendment 1.Interpret this interval.b. Based on this sample is it still REASONABLY possible that Amendment one would not pass? Explain your conclusions.Problem 8 (18 points)An individual wanted to determine the relation that might exist between speed and miles per gallon of an automobile. Let X be the average speed of a car on the highway measured in miles per hour and let Y represent the miles per gallon of the automobile. The following data is collected:X5055556060626565Y2826252220201715a. In the space below, draw a scatterplot of the bivariate data set.b. What is the value for r? Interpret this value, would you say that the correlation is positive or negative? Strong or Weak? How do you know?c. From the regression equation given above, what value is the slope of the line? Interpret this slope, what does it tell us about the relationship between average speed and miles per gallon?
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