Find the expected number who eat breakfast at least three times weekly for each gender

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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C. Find the expected number who eat breakfast at least three times weekly for each gender 

In a study, a random sample of community college students was asked whether they ate breakfast three or more times weekly. The data are reported by gender in the table. Complete parts a through e.

**Table of Breakfast Consumption:**

| Eat breakfast at least 3 times weekly | Females | Males | Total |
|---------------------------------------|---------|-------|-------|
| Yes                                   | 206     | 94    | 300   |
| No                                    | 91      | 48    | 139   |
| Total                                 | 297     | 142   | 439   |

**a. Row, Column, and Grand Totals:**

The table displays the number of students who eat breakfast three or more times weekly, separated by gender. The totals of each row and column are included.

**b. Percentage of Students:**

Calculate the percentage of students overall who eat breakfast at least three times weekly:
\[ \text{Percentage} = \left(\frac{300}{439}\right) \times 100 = 68.3\% \]
(Rounded to one decimal place.)

**c. Expected Numbers by Gender:**

Determine the expected number who eat breakfast at least three times weekly for each gender.

The expected numbers are calculated using proportions based on the total sample size:
- Expected females: \[ \left(\frac{297}{439}\right) \times 300 \]
- Expected males: \[ \left(\frac{142}{439}\right) \times 300 \]

Round to two decimal places as needed.
Transcribed Image Text:In a study, a random sample of community college students was asked whether they ate breakfast three or more times weekly. The data are reported by gender in the table. Complete parts a through e. **Table of Breakfast Consumption:** | Eat breakfast at least 3 times weekly | Females | Males | Total | |---------------------------------------|---------|-------|-------| | Yes | 206 | 94 | 300 | | No | 91 | 48 | 139 | | Total | 297 | 142 | 439 | **a. Row, Column, and Grand Totals:** The table displays the number of students who eat breakfast three or more times weekly, separated by gender. The totals of each row and column are included. **b. Percentage of Students:** Calculate the percentage of students overall who eat breakfast at least three times weekly: \[ \text{Percentage} = \left(\frac{300}{439}\right) \times 100 = 68.3\% \] (Rounded to one decimal place.) **c. Expected Numbers by Gender:** Determine the expected number who eat breakfast at least three times weekly for each gender. The expected numbers are calculated using proportions based on the total sample size: - Expected females: \[ \left(\frac{297}{439}\right) \times 300 \] - Expected males: \[ \left(\frac{142}{439}\right) \times 300 \] Round to two decimal places as needed.
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