Statway College 3.2: Confidence Intervals for a Population Proportion
TAKE IT HOME
1 During April of 2013, Gallup randomly surveyed 500 adults in the U.S. and 47% said that they were happy, and without a lot of stress. Calculate and interpret a 95% confidence interval for the proportion of U.S. adults who considered themselves happy at that time.
A How many successes and failures are there in the sample? Are the criteria for approximate normality satisfied for a confidence interval?
B What is the sample proportion?
C Compute the margin of error for a 95% confidence interval.
D Interpret the margin of error you calculated in Question 1C. Explain what this margin or error tells us in one or two sentences.