Black Friday is a colloquial term for the Friday following Thanksgiving Day in the United States. Many stores offer highly promoted sales on Black Friday and open very early, or even on Thanksgiving Day. Black Friday has routinely been the busiest shopping day of the year in the United States since at least 2005. According to a finder.com survey from September 2021, the site predicts that this year 69% of Americans aged 18-24 are going to shop the sales on Black Friday.  Data were collected from a random sample of Americans aged 18-24. 0 means "will not shop on Black Friday and 1 means "will shop on Black Friday". Obtain the sample proportion of Americans aged 18-24 who said they “will shop sales on Black Friday”. Show the full calculation of the sample proportion by including the number of successes, the total number of students sampled, and the value of the sample proportion. Present this sample proportion as a decimal rounded to four decimal places.

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
Question

Black Friday is a colloquial term for the Friday following Thanksgiving Day in the United States. Many stores offer highly promoted sales on Black Friday and open very early, or even on Thanksgiving Day. Black Friday has routinely been the busiest shopping day of the year in the United States since at least 2005. According to a finder.com survey from September 2021, the site predicts that this year 69% of Americans aged 18-24 are going to shop the sales on Black Friday. 

Data were collected from a random sample of Americans aged 18-24. 0 means "will not shop on Black Friday and 1 means "will shop on Black Friday".

Obtain the sample proportion of Americans aged 18-24 who said they “will shop sales on Black Friday”. Show the full calculation of the sample proportion by including the number of successes, the total number of students sampled, and the value of the sample proportion. Present this sample proportion as a decimal rounded to four decimal places.

 

### Frequency Table Results for Black Friday Shopping

#### Group: Black Friday Shopping = 0
- **Count**: 193

| Black Friday Shopping | Frequency | Relative Frequency | Percent of Total | Cumulative Frequency | Cumulative Relative Frequency | Cumulative Percent of Total |
|-----------------------|-----------|--------------------|------------------|----------------------|-------------------------------|----------------------------|
| 0                     | 193       | 1                  | 100              | 193                  | 1                             | 100                        |

#### Group: Black Friday Shopping = 1
- **Count**: 357

| Black Friday Shopping | Frequency | Relative Frequency | Percent of Total | Cumulative Frequency | Cumulative Relative Frequency | Cumulative Percent of Total |
|-----------------------|-----------|--------------------|------------------|----------------------|-------------------------------|----------------------------|
| 1                     | 357       | 1                  | 100              | 357                  | 1                             | 100                        |

### Explanation
The tables represent data on Black Friday shopping participation. The first table indicates that 193 individuals did not participate in Black Friday shopping, accounting for 100% of this group. The second table shows that 357 individuals participated, also constituting 100% of their respective group. Each group’s relative frequency and percent of total equals 1 and 100 respectively, reflecting complete participation or non-participation within each grouping.
Transcribed Image Text:### Frequency Table Results for Black Friday Shopping #### Group: Black Friday Shopping = 0 - **Count**: 193 | Black Friday Shopping | Frequency | Relative Frequency | Percent of Total | Cumulative Frequency | Cumulative Relative Frequency | Cumulative Percent of Total | |-----------------------|-----------|--------------------|------------------|----------------------|-------------------------------|----------------------------| | 0 | 193 | 1 | 100 | 193 | 1 | 100 | #### Group: Black Friday Shopping = 1 - **Count**: 357 | Black Friday Shopping | Frequency | Relative Frequency | Percent of Total | Cumulative Frequency | Cumulative Relative Frequency | Cumulative Percent of Total | |-----------------------|-----------|--------------------|------------------|----------------------|-------------------------------|----------------------------| | 1 | 357 | 1 | 100 | 357 | 1 | 100 | ### Explanation The tables represent data on Black Friday shopping participation. The first table indicates that 193 individuals did not participate in Black Friday shopping, accounting for 100% of this group. The second table shows that 357 individuals participated, also constituting 100% of their respective group. Each group’s relative frequency and percent of total equals 1 and 100 respectively, reflecting complete participation or non-participation within each grouping.
**Frequency Table Results for Black Friday Shopping**

**Count = 550**

| Black Friday Shopping | Frequency | Relative Frequency | Percent of Total | Cumulative Frequency | Cumulative Relative Frequency | Cumulative Percent of Total |
|-----------------------|-----------|--------------------|------------------|----------------------|------------------------------|----------------------------|
| 0                     | 193       | 0.35090909         | 35.090909        | 193                  | 0.35090909                   | 35.090909                  |
| 1                     | 357       | 0.64909091         | 64.909091        | 550                  | 1                            | 100                        |

### Explanation:

- **Black Friday Shopping**: This column indicates whether individuals participated in Black Friday shopping, with '0' representing non-participation and '1' representing participation.
  
- **Frequency**: This is the count of individuals in each category. 193 individuals did not participate, while 357 did.

- **Relative Frequency**: This column shows the proportion of each category in relation to the total sample of 550. The non-participation proportion is approximately 0.351, whereas the participation proportion is approximately 0.649.

- **Percent of Total**: This is the percentage representation of the relative frequency. Non-participation is 35.09% of the dataset, while participation is 64.91%.

- **Cumulative Frequency**: Shows the accumulation of frequencies from top to bottom. All 550 participants are accounted for by the last entry.

- **Cumulative Relative Frequency**: This accumulates the relative frequencies up to the current row. It reaches a total of 1 by the last row, representing the entire dataset.

- **Cumulative Percent of Total**: This accumulates the percentages, summing to 100% by the last row, confirming full data coverage.
Transcribed Image Text:**Frequency Table Results for Black Friday Shopping** **Count = 550** | Black Friday Shopping | Frequency | Relative Frequency | Percent of Total | Cumulative Frequency | Cumulative Relative Frequency | Cumulative Percent of Total | |-----------------------|-----------|--------------------|------------------|----------------------|------------------------------|----------------------------| | 0 | 193 | 0.35090909 | 35.090909 | 193 | 0.35090909 | 35.090909 | | 1 | 357 | 0.64909091 | 64.909091 | 550 | 1 | 100 | ### Explanation: - **Black Friday Shopping**: This column indicates whether individuals participated in Black Friday shopping, with '0' representing non-participation and '1' representing participation. - **Frequency**: This is the count of individuals in each category. 193 individuals did not participate, while 357 did. - **Relative Frequency**: This column shows the proportion of each category in relation to the total sample of 550. The non-participation proportion is approximately 0.351, whereas the participation proportion is approximately 0.649. - **Percent of Total**: This is the percentage representation of the relative frequency. Non-participation is 35.09% of the dataset, while participation is 64.91%. - **Cumulative Frequency**: Shows the accumulation of frequencies from top to bottom. All 550 participants are accounted for by the last entry. - **Cumulative Relative Frequency**: This accumulates the relative frequencies up to the current row. It reaches a total of 1 by the last row, representing the entire dataset. - **Cumulative Percent of Total**: This accumulates the percentages, summing to 100% by the last row, confirming full data coverage.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE 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