Most Americans fall close to the middle: 37 percent call the outbreak "somewhat" serious, and 35 percent suggest it is not too serious. By contrast, just 12 percent say the outbreak is "very" serious, while 14 percent say it is not at all serious.
Also released Wednesday: A poll suggesting that most Americans are confident the president will pick a good Supreme Court nominee.
Watch CBS News Director Of Surveys Sarah Dutton break down tonight's poll results:
Asked how concerned they are that a member of their household will catch the H1N1 flu, just one in ten says they are "very" concerned. One in four is not at all concerned about a member of their family contracting the flu.
Americans residing in the South are more likely to express concerns about family members contracting the flu than those in other regions. Women are also more likely than men to have such concerns.
This poll was conducted among a random sample of 1,874 adults nationwide, interviewed by telephone May 6 -12, 2009. Phone numbers were dialed from RDD samples of both standard land-lines and cell phones. The error due to sampling for results based on the entire sample could be plus or minus two percentage points. The error for subgroups is higher.
This poll release conforms to the Standards of Disclosure of the National Council on Public Polls.