Question

This exercise provides information about data in a survey of students. The math SAT score is higher than the verbal SAT score for of the students who answered the questions about SAT scores. Find , the proportion for whom the math SAT score is higher. Round your answer to three decimal places. Enter your answer in accordance to the question statement

Answer 1

X= 224 represent the number of students who answered the questions about SAT

n = 386 represent the random sample selected for the experiment

By definition the sample proportion
`\hat p` is defined as:

`\hat p = (X)/(n)`

And if we replace we got:

`\hat p = (224)/(386)= 0.5803 \approx 0.580`

So then on this case the answer after round to 3 decimal places is
`\hat p = 0.580`

Explanation:

Assuming the following question: The math SAT score is higher than the verbal SAT score for 224 of the 386 students who answered the questions about SAT scores

Find p, the proportion for whom the math SAT score is higher Round your answer to three decimal places.

Solution to the problem

For this case we know that the population proportion represent the parameter of interest
`p`

And we have information collected from the sample

X= 224 represent the number of students who answered the questions about SAT

n = 386 represent the random sample selected for the experiment

By definition the sample proportion
`\hat p` is defined as:

`\hat p = (X)/(n)`

And if we replace we got:

`\hat p = (224)/(386)= 0.5803 \approx 0.580`

So then on this case the answer after round to 3 decimal places is
`\hat p = 0.580`