Defenders of the National Security Agency’s recently disclosed surveillance of Americans’ telephone records seem to be getting somewhere. Voters tend to believe the NSA program should be reined in, but they’re not quite as suspicious of the government’s motives as they were earlier.

Forty-six percent (46%) of Likely U.S. Voters favor putting greater restrictions on the NSA’s tracking of Americans’ telephone calls, according to the latest Rasmussen Reports national telephone survey. Thirty-six percent (36%) oppose additional restrictions on the program. Eighteen percent (18%) are undecided. (To see survey question wording, click here.)

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The survey of 1,000 Likely Voters was conducted on July 28-29, 2013 by Rasmussen Reports. The margin of sampling error is +/- 3 percentage points with a 95% level of confidence. Field work for all Rasmussen Reports surveys is conducted by Pulse Opinion Research, LLC. See methodology.