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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?

Respuesta :

lbyoung2700

Answer:

NO

Step-by-step explanation:

since the interval contains values above 0.5, it is plausible that more that 50% of students prefer using a computer for notes.

Using the given confidence interval, since it's upper bound is above 50%, the newspaper is not justified in this statement.

What is the interpretation of a x% confidence interval?

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

Hence, in this problem, we are 99% confident that the proportion is between 0.322 and 0.511. Since the upper bound of the interval is above 50%, there is not enough evidence to say that the proportion is below 50%, hence the newspaper is not justified in this statement.

More can be learned about confidence intervals at https://brainly.com/question/25890103

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