A poll asked a random sample of 530 adults: "Do you support or oppose putting a special tax on junk food—that is, things like soda, chips, and candy—and using the money for programs to fight obesity?" They reported that 55% of the respondents said "Support" and that the margin of error for the poll was ± 4 percentage points.
Based on these sample results, are you convinced that a majority of the population (that is, over 50%) at that time supported putting a special tax on junk food? Provide a numerical argument to support your answer.
____ , the interval is ___ % to ____ %, which is _____ 50%. Therefore, we ____ be convinced that the population percentage is _____ 50%.