Question

The U.S. Department of Labor and Statistics wanted to compare the results of an unemployment program for the past two months in the U.S. Suppose the proportion of the unemployed two months ago is p2 and the proportion of the unemployed one month ago is p1. A study found a 99% confidence interval for p2 - p1 to be (-0.0012, 0.003). What conclusions can we draw about the unemployment percentage for the past two months?

- Since the values in the interval are all close to 0, the unemployment program was not shown to be statistically significant in lowering the unemployment rate for the past two months.

- Since most of the values in the interval are positive, the unemployment program is statistically significant in lowering the unemployment rate.

- Since 0 is included in the interval, we conclude that the unemployment rates for the past two months are exactly equal.

- Since 0 is included in the interval, the unemployment program is statistically significant in lowering the unemployment rate over the past two months.

- Since 0 is included in the interval, the unemployment program was not shown to be statistically significant in lowering the unemployment rate for the past two months.

Answer 1

99% confidence interval for p2 - p1 to be (-0.0012, 0.003)

Since 0 is included in the interval, the unemployment program was not shown to be statistically significant in lowering the unemployment rate for the past two months.

option D