High School

We appreciate your visit to A college admissions officer sampled 116 entering freshmen and found that 45 of them scored more than 590 on the math SAT Find a point. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A college admissions officer sampled 116 entering freshmen and found that 45 of them scored more than 590 on the math SAT.

Find a point estimate for the proportion of all entering freshmen at this college who scored more than 590 on the math SAT.

Round the answer to at least three decimal places.

Answer :

To find a point estimate for the proportion of all entering freshmen at this college who scored more than 590 on the math SAT, we can use the formula for the sample proportion.

The sample proportion [tex]\hat{p}[/tex] is calculated by dividing the number of successes by the total number of observations in the sample.

Given:

  • Number of freshmen who scored more than 590: 45
  • Total number of entering freshmen sampled: 116

The formula for the sample proportion is:

[tex]\hat{p} = \frac{x}{n}[/tex]

Where:

  • [tex]x[/tex] is the number of successes
  • [tex]n[/tex] is the total number of observations

Substitute the given values:

[tex]\hat{p} = \frac{45}{116}[/tex]

Now, calculate the value:

[tex]\hat{p} = 0.38879[/tex]

Rounding this to three decimal places, the point estimate for the proportion of all entering freshmen at this college who scored more than 590 on the math SAT is:

[tex]\hat{p} = 0.389[/tex]

Therefore, the point estimate for the proportion is approximately 0.389.

Thanks for taking the time to read A college admissions officer sampled 116 entering freshmen and found that 45 of them scored more than 590 on the math SAT Find a point. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada