A researcher surveys a random sample of 625 students and finds that 58% prefer digital textbooks. The margin of error is ±4 percentage points at 95% confidence. The researcher wants to report that a majority (more than 50%) of students prefer digital textbooks. Is this conclusion valid?
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A
Yes, because the entire confidence interval (54%–62%) is above 50%.
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B
No, because the sample proportion might not equal the population proportion.
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C
No, because the margin of error is too large to draw conclusions.
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D
Yes, because 58% is substantially higher than 50%.