“The arithmetic for us is simple,” AT&T’s chief executive, Randall Stephenson, said on CNBC in May. If Congress were to cut the 35 percent tax on corporate profits to 20 percent, he declared, “I know exactly what AT&T would do — we’d invest more” in the United States.

Every $1 billion in tax savings would create 7,000 well-paying jobs, Mr. Stephenson went on to say. The correlation between lower corporate taxes and more jobs, he assured viewers, runs “very, very tight.”

As Congress prepares to take up tax legislation this fall, including an effort to reduce the corporate tax rate, this bold jobs claim merits examination. Notably, it comes from the chief executive of a company that’s already paying comparatively little in federal taxes.

According to the Institute on Taxation and Economic Policy, AT&T enjoyed an effective tax rate of just 8 percent between 2008 and 2015, despite recording a profit in the United States each year, by exploiting tax breaks and loopholes. (The company argues that it pays significant taxes, at a rate close to 34 percent in recent years, but that includes deferred taxes and state and local levies.)