Labor Secretary Hilda Solis was asked on CNBC about suspicions that the Obama administration might have skewed the jobs numbers to aid Obama's re-election prospects.
"I'm insulted when I hear that because we have a very professional civil service," Solis said. "I have the highest regard for our professionals that do the calculations at the (Bureau of Labor Statistics). They are trained economists."
After the jobs report was released, the Dow Jones industrial average gained 60 points in the first hour of trading. Broader stock indexes also rose.
The yield on the 10-year U.S. Treasury note climbed to 1.73 percent from 1.68 percent just before the report. That suggested that investors were more willing to take on risk and shift money from bonds into stocks.
The job market has been improving, sluggishly but steadily. Jobs have been added for 24 straight months. There are now 325,000 more than when Obama took office.
The number of employed Americans comes from a government survey of 60,000 households that determines the unemployment rate. The government asks a series of questions, by phone or in person. For example:
Do you own a business? Did you work for pay? If not, did you provide unpaid work for a family business or farm? (Those who did are considered employed.)
Afterward, the survey participants are asked whether they had a job and, if so, whether it was full or part time. The government's definition of unemployed is someone who's out of work and has actively looked for a job in the past four weeks.
The government also does a second survey of roughly 140,000 businesses to determine the number of jobs businesses created or lost.
The September job gains were led by the health care industry, which added 44,000 jobs — the most since February. Transportation and warehousing also showed large gains.