A closer look at the data suggests unemployment did not fall to 9.4%. The official unemployment number only counts workers who are looking for jobs. If you become discouraged and quit looking, then you are no longer part of the numbers used for calculating the unemployment rate. You have no job but you are not counted. Here are the key sentences from the report:
The civilian labor force participation rate declined by 0.2 percentage point in July to 65.5 percent.
About 2.3 million persons were marginally attached to the labor force in July, 709,000 more than a year earlier. (The data are not seasonally adjusted.) These individuals, who were not in the labor force, wanted and were available for work and had looked for a job sometime in the prior 12 months. They were not counted as unemployed because they had not searched for work in the 4 weeks preceding the survey. (See table A-13.)
Among the marginally attached, there were 796,000 discouraged workers in July, up by 335,000 over the past 12 months. (The data are not seasonally adjusted.) Discouraged workers are persons not currently looking for work because they believe no jobs are available for them. The other 1.5 million persons marginally attached to the labor force in July had not searched for work in the 4 weeks preceding the survey for reasons such as school attendance or family responsibilities.
In other words, less people are counted as unemployed because they have given up searching in the current economic environment and this led to a lower unemployment rate. If we include the discouraged workers as unemployed, the unemployment stands at 9.8% (Unemployed workers- 14,462,000+796,000 = 15,258,000, Workforce- 154,504,000+ 796,000 = 155,300,000). If we include the marginally attached, then the unemployment rate stands at 10.7%.