In February 2004, USA Today conducted an online poll. Visitors to their Web site were asked the following question: "Should the U.S. pass a constitutional amendment banning gay marriage?" Visitors could vote by clicking a button. The result as of 3:30 pm on February 25 was that 68.61% voted "No" and 31.39% voted "Yes." A total of 63,046 votes had been recorded. It was found that the margin of error for 95% confidence for a sample of this size is roughly equal to four-tenths of one percentage point.
A.
The margin of error is 0.4%. Therefore, it can be said with 95% confidence that 68.61%, plus or minus 0.4%, of American adults are opposed to having the United States pass a constitutional amendment banning gay marriage.
B.
68.61% is the correct value of population parameter p, representing the proportion of American adults who are opposed to have the United States pass a constitutional amendment banning gay marriage.
C.
The result of the poll is based on a voluntary response sample. Therefore, it cannot be said that 68.61%, plus or minus 0.4%, of American adults are opposed to having the United States pass a constitutional amendment banning gay marriage.
Answer: C.
The result of the poll is based on a voluntary response sample. Therefore, it cannot be said that 68.61%, plus or minus 0.4%, of American adults are opposed to having the United States pass a constitutional amendment banning gay marriage.
Which of the following statements correctly explains the result of the poll?
A.
The margin of error is 0.4%. Therefore, it can be said with 95% confidence that 68.61%, plus or minus 0.4%, of American adults are opposed to having the United States pass a constitutional amendment banning gay marriage.
B.
68.61% is the correct value of population parameter p, representing the proportion of American adults who are opposed to have the United States pass a constitutional amendment banning gay marriage.
C.
The result of the poll is based on a voluntary response sample. Therefore, it cannot be said that 68.61%, plus or minus 0.4%, of American adults are opposed to having the United States pass a constitutional amendment banning gay marriage.
Answer: C.
The result of the poll is based on a voluntary response sample. Therefore, it cannot be said that 68.61%, plus or minus 0.4%, of American adults are opposed to having the United States pass a constitutional amendment banning gay marriage.
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