MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in 2017 as well as the projections for 2022. Assume that the results for surveys in the United Kingdom, China, Russia, and the United States are as follows.

**Social Media Use Study**

Social media is popular around the world. Statista provides estimates of the number of social media users in various countries in 2017, as well as the projections for 2022. Assume these results for surveys in the United Kingdom, China, Russia, and the United States.

**Excel File:** data12-23.xlsx

---

### User Data by Country - 2017

| Use Social Media | United Kingdom | China | Russia | United States |
|------------------|----------------|-------|--------|---------------|
| Yes              | 480            | 215   | 343    | 640           |
| No               | 320            | 285   | 357    | 360           |

---

### a. Hypothesis Testing

Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries, using a 0.05 level of significance.

- **H0**: \( p1 = p2 = p3 = p4 \)
- **Ha**: Not all population proportions are equal

Choose the correct answer:

- **Correct:** 2
- **Ha**: Not all population proportions are equal

What is the p-value? Use Table 3 of Appendix B.

- **P-value is:** less than 0.01

What is your conclusion?

- **Conclude all population proportions are:** not equal

### b. Sample Proportions for Each Country

Round your answers to two decimal places.

- **United Kingdom:** 0.27
- **China:** [Input required]
- **Russia:** [Input required]
- **United States:** [Input required]

Which country has the largest proportion of adults using social networking sites?

- **Select your answer:** [Input required]

### c. Multiple Pairwise Comparison Tests

Using a 0.05 level of significance, conduct multiple pairwise comparison tests among the four countries. Round \( \hat{p}_i \), \( \hat{p}_j \), and Absolute diff to two decimal places. Round \( CV_{ij} \) to four decimal places.

| Comparison | \( \hat{p}_i \) | \( \hat{p}_j \) | Absolute diff | \( n_i \) | \( n_j \) | \( CV_{ij} \) | Significant if Absolute diff > \( CV_{ij} \) |
|------------|-----------------|
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Transcribed Image Text:**Social Media Use Study** Social media is popular around the world. Statista provides estimates of the number of social media users in various countries in 2017, as well as the projections for 2022. Assume these results for surveys in the United Kingdom, China, Russia, and the United States. **Excel File:** data12-23.xlsx --- ### User Data by Country - 2017 | Use Social Media | United Kingdom | China | Russia | United States | |------------------|----------------|-------|--------|---------------| | Yes | 480 | 215 | 343 | 640 | | No | 320 | 285 | 357 | 360 | --- ### a. Hypothesis Testing Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries, using a 0.05 level of significance. - **H0**: \( p1 = p2 = p3 = p4 \) - **Ha**: Not all population proportions are equal Choose the correct answer: - **Correct:** 2 - **Ha**: Not all population proportions are equal What is the p-value? Use Table 3 of Appendix B. - **P-value is:** less than 0.01 What is your conclusion? - **Conclude all population proportions are:** not equal ### b. Sample Proportions for Each Country Round your answers to two decimal places. - **United Kingdom:** 0.27 - **China:** [Input required] - **Russia:** [Input required] - **United States:** [Input required] Which country has the largest proportion of adults using social networking sites? - **Select your answer:** [Input required] ### c. Multiple Pairwise Comparison Tests Using a 0.05 level of significance, conduct multiple pairwise comparison tests among the four countries. Round \( \hat{p}_i \), \( \hat{p}_j \), and Absolute diff to two decimal places. Round \( CV_{ij} \) to four decimal places. | Comparison | \( \hat{p}_i \) | \( \hat{p}_j \) | Absolute diff | \( n_i \) | \( n_j \) | \( CV_{ij} \) | Significant if Absolute diff > \( CV_{ij} \) | |------------|-----------------|
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