In a poll, 800 people were asked how favorable they felt toward a certain bill proposed in Congress. The table above shows the number of those polled that responded in each of the five ways. What is the total percent of those who felt neutral, mildly unfavorable, or very unfavorable toward the proposed bill?
65% of those polled felt neutral, mildly unfavorable, or very unfavorable toward the proposed bill.
To calculate the total percent of respondents who felt neutral, mildly unfavorable, or very unfavorable, we sum the respective numbers of responses and then divide by the total number of respondents, which is 800. The combined total of these responses amounts to 520, leading to a percentage of 65%.
This percentage would imply that only 416 respondents felt neutral or unfavorable, which is significantly lower than the actual total. The calculations to achieve 52% do not correspond with the data provided in the poll, making this choice incorrect.
Choosing 58% suggests that 464 respondents felt neutral or unfavorable. However, this figure does not accurately reflect the sum of the neutral, mildly unfavorable, and very unfavorable responses recorded in the poll. The calculations do not align with the actual numbers, resulting in an incorrect choice.
A percentage of 60% indicates that 480 respondents were neutral or unfavorable. This estimate is still too low based on the actual data from the poll, as it fails to account for all respondents who expressed neutrality and unfavorable sentiments, thus making it an inaccurate option.
This figure accurately represents the calculations based on the total number of respondents who felt neutral, mildly unfavorable, or very unfavorable. By summing these categories, we find that 520 out of 800 respondents yield exactly 65%, confirming this as the correct answer.
Selecting 72% would mean that 576 respondents felt neutral or unfavorable, which overestimates the actual responses recorded in the poll. This choice does not align with the provided data and therefore is not a valid option.
The calculation of 65% for the respondents feeling neutral, mildly unfavorable, or very unfavorable reflects the correct interpretation of the data collected from the poll. Assessing the total number of individuals in these categories confirms this percentage, while all other options misrepresent the actual sentiments expressed by those surveyed. Understanding how to accurately interpret survey data is critical for drawing valid conclusions in polling contexts.
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