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Mathematics, 15.02.2021 19:40 allieballey0727
A random sample of 9th-grade students was asked if they prefer taking notes on a computer or using a paper and pencil. Of the 180 students who were surveyed, 75 said they preferred using the computer. The resulting 99% confidence interval for the proportion of students who prefer taking notes on the computer was (0.322, 0.511). The school newspaper ran a story saying that less than half of the student body prefers taking notes on a computer. Based on the interval, is the newspaper justified in this statement? A. Yes, the sample proportion of students who prefer taking notes on their computer was 0.417 which is less than 0.5. B. No, the interval contains values above 0.5, so it is plausible that more than 50% of the students prefer using a computer for notes C. No, the interval contains values above 0,5, so we can be certain that more than 50% of the students prefer using a computer for notes D. Yes, nearly the entire confidence interval contains values less than 0.5, so we can be certain that less than 50% of the students prefer using a computer for notes. E. Yes, nearly the entire confidence interval contains values less than 0.5, so it is very likely that less than 50% of the students prefer using a computer for notes.
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