Question

In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12_The bootstrap distribution (based on 5,000 samples) is provided. 150 samples = 3000 mean = 0.529 st. des: -0.016 L abello 0.48 0.50 0.52 0.54 0.56 0.58 0.529 a. Would it be appropriate to use the normal distribution to construct the confidence interval in this situation? Explain briefly. (2 points) b. Use the normal distribution to construct and interpret a 99% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12. Round to three decimal places. (6 points)

Answer 1

a.) Yes it would be fairly appropriate. As the density plot above is approximately normal if not exactly.

0.1 0.2 0.3 0.4 Standard Normal Distribution

this is a perfect standard normal plot so on comparing the provided density plot we can say that it is approximately normal.

b)

b) confidence interval 99.1. n=1012 ( sample sized p = 0.531 Sample Proportion ) p I 20.01x / plik? N 1012 » 0.53 & 2.58 0.53(1-0.93) 1012 co.490 ,0.571)

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