Although Germany has one of the healthiest economies in the euro zone, it has one of the lowest homeownership rates in Europe. According to ECD, the German homeownership rate was 44% in 2011 (compared to 66% in the United States). Suppose, from a random sample of 270 households in Germany in 2014, 127 were occupied by the owners of the residence.

a. Construct a 98% confidence interval to estimate the actual proportion of households in Germany that are occupied by their owners in 2014.

b. What is the margin of error for this sample?

c. Is there evidence that this proportion has changed since 2011 based on this sample?

d. Verify your results with PHStat.