Voters remain skeptical about U.S. military involvement in Libya, with a plurality still opposed to further military action in the north African country.

The latest Rasmussen Reports national telephone survey shows that just 24% of Likely U.S. Voters now believe the United States should continue its military action in Libya. Forty-four percent (44%) oppose further action there, while 32% are undecided. (To see survey question wording, click here.)

A month ago, 26% favored continued U.S. military operations in Libya, while 42% were opposed.

Thirty-six percent (36%) of voters rate the Obama administration’s handling of the situation in Libya as good or excellent. That’s unchanged from last month. Twenty-seven percent (27%) view the administration’s performance as poor.

Positive marks for the administration’s response to events in Libya peaked at 43% in late March following the president’s televised address to the nation explaining his decision to commit U.S. military forces to the overthrow of longtime dictator Moammar Gaddafi.

Only 24% of voters view Libya as a vital national security interest for the United States these days. Forty-seven percent (47%) disagree and say it’s not vital to U.S. national security. Twenty-nine percent (29%) are not sure. This parallels findings in April which marked a slippage in belief that Libya is a vital U.S. national security interest.

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The survey of 1,000 Likely Voters was conducted on July 10-11, 2011 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.