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Option (B)

Step-by-step explanation:

The Pew Research Center survey asked about whether vaccines for childhood diseases - measles, mumps, rubella, and polio - should be required or left up to parental choice. A representative sample of 2,002 adults nationwide was drawn from the general population of adults nationwide.

The margin of sampling error for results based on all adults is "plus or minus 3.1% points".

The results from the survey showed that 68% of the adults want such vaccines to be required WHILE 30% of the adults feel that parents should decide whether or not to vaccinate their children.

The correct statement that interprets the 95% confidence interval for the above results is option (B):

"We are 95% confident that between 64.9% (68% - 3.1%) and 71.1% (68% + 3.1%) of American adults (the total population of American adults) say that vaccines for childhood diseases such as measles, mumps, rubella (MMR) and polio should be required."

We are 95% confident, inferring this population parameter from the representative sample statistics.