Q. 26 At a particular college, 78%聽of... [FREE SOLUTION]

91影视

The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 837 pages

ISBN: 9781319113339

Chapter 7: Q. 26 (page 457)

At a particular college, $78 %$ of all students are receiving some kind of financial aid. The school newspaper selects a random sample of $100$ students and $72 %$ of the respondents say they are receiving some sort of financial aid. Which of the following is true?
$78 %$ is a population and $72 %$ is a sample.
$72 %$ is a population and $78 %$ is a sample.
$78 %$ is a parameter and $72 %$ is a statistic.
$72 %$ is a parameter and $78 %$ is a statistic.
$72 %$ is a parameter and $100$ is a statistic.

Short Answer

Expert verified

Option (c): $78 %$ is a parameter and $72 %$ is a statistic is correct option.

Step by step solution

Given Information

We are given that $78 %$ of all students at a particular college get financial aid. From random sample of $100$ students $72 %$ respondents get financial statement.

We need to find out correct option from given options.

Explanation

All persons about whom we want to collect data are included in the population.
A sample is a subset of the population from which data is collected.
The sample in our question is the $100$ students in the random sample, whereas the population is defined as all students at a specific college.
A parameter is population descriptive measure, whereas a statistic is sample descriptive measure.
The $72 %$ is based on a random sample of all students, hence $72 %$ is a statistic.
The $78 %$ is based on all students at a specific college, hence it is based on the population, implying that $78 %$ is a parameter.