To determine a target audience for a new email package, a computer company surveyed a large sample of potential customers, asking each whether he or she uses email on a regular basis. (The company considered "a regular basis" to be at least three times a week.) The data, as summarized in the contingency table pelow, were classified by the age of the respondent and the response to the question. The respective observed frequencies are written in the cells of the table. In addition, three of the cells have blanks beneath the observed frequencies. Fill in hese blanks with the frequencies expected if the two variables, email use and age, are independent. Round your responses to at least two decimal places. Age (in years) Under 18 18-35 36-54 55+ Total On a regular basis 131 122 47 100 400 Email use Not on a regular basis 178 166 53 203 600 Total 309 288 100 303 1000

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
To determine a target audience for a new email package, a computer company surveyed a large sample of potential customers, asking each whether he or she uses email on a regular basis. (The company considered "a regular basis" to be at least three times a week.) The data, as summarized in the contingency table below, were classified by the age of the respondent and the response to the question.

The respective observed frequencies are written in the cells of the table. In addition, three of the cells have blanks beneath the observed frequencies. Fill in these blanks with the frequencies expected if the two variables, email use and age, are independent.

Round your responses to at least two decimal places.

### Table: Email Use by Age Group

| Email Use             | Under 18 | 18-35 | 36-54 | 55+ | Total |
|-----------------------|----------|-------|-------|-----|-------|
| On a regular basis    | 131      | 122   | 47    | 100 | 400   |
| Not on a regular basis | 178      | 166   | 53    | 203 | 600   |
| Total                 | 309      | 288   | 100   | 303 | 1000  |

### Explanation of the Table

- **Rows**: The table consists of two main rows representing email usage frequency: "On a regular basis" and "Not on a regular basis."
- **Columns**: The columns are divided according to age groups: Under 18, 18-35, 36-54, and 55+.
- **Total**: The rightmost column and bottom row display the totals for each category of email usage and age group, respectively. 

### Instructions

Calculate the expected frequencies for the blanks provided in the cells if email use and age are independent, utilizing the formula for expected frequency in a contingency table:

\[
\text{Expected Frequency} = \frac{\text{(Row Total) × (Column Total)}}{\text{Grand Total}}
\]

Please ensure your answers are accurate to two decimal places.
Transcribed Image Text:To determine a target audience for a new email package, a computer company surveyed a large sample of potential customers, asking each whether he or she uses email on a regular basis. (The company considered "a regular basis" to be at least three times a week.) The data, as summarized in the contingency table below, were classified by the age of the respondent and the response to the question. The respective observed frequencies are written in the cells of the table. In addition, three of the cells have blanks beneath the observed frequencies. Fill in these blanks with the frequencies expected if the two variables, email use and age, are independent. Round your responses to at least two decimal places. ### Table: Email Use by Age Group | Email Use | Under 18 | 18-35 | 36-54 | 55+ | Total | |-----------------------|----------|-------|-------|-----|-------| | On a regular basis | 131 | 122 | 47 | 100 | 400 | | Not on a regular basis | 178 | 166 | 53 | 203 | 600 | | Total | 309 | 288 | 100 | 303 | 1000 | ### Explanation of the Table - **Rows**: The table consists of two main rows representing email usage frequency: "On a regular basis" and "Not on a regular basis." - **Columns**: The columns are divided according to age groups: Under 18, 18-35, 36-54, and 55+. - **Total**: The rightmost column and bottom row display the totals for each category of email usage and age group, respectively. ### Instructions Calculate the expected frequencies for the blanks provided in the cells if email use and age are independent, utilizing the formula for expected frequency in a contingency table: \[ \text{Expected Frequency} = \frac{\text{(Row Total) × (Column Total)}}{\text{Grand Total}} \] Please ensure your answers are accurate to two decimal places.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman