QUESTION 3 Researchers conducted two surveys about teens are their use of social media. The first survey asked a random sample of 800 U.S. teens about their use of Instagram. A second survey asked the same questions to a random sample of 2253 Canadian teens. In these two studies, 73% of U.S. teens and 88% of Canadian teens said that they use Instagram. Use these results to answer the following questions about the proportion of U.S. and Canadian teens that use Instagram. Is there a statistically significant difference between the use of social media by U.S. teens and Canadian teens? No, there is no difference between the proportion of U.S. teens that use Instagram and the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values. Yes, the proportion of U.S. teens that use Instagram is significantly less than the proportion of Canadian teens that use Instagram difference because both the lower limit and the upper limit of the confidence interval are positive values. Yes, the proportion of U.S. teens that use Instagram is significantly less than the proportion of Canadian teens that use Instagram difference because both the lower limit and the upper limit of the confidence interval are negative values. Yes, the proportion of U.S. teens that use Instagram is significantly more than the proportion of Canadian teens that use Instagram difference because both the lower limit and the upper limit of the confidence interval are positive values. Yes, the proportion of U.S. teens that use Instagram is significantly more than the proportion of Canadian teens that use Instagram difference O because both the lower limit and the upper limit of the confidence interval are negative values. No, there is no difference between the proportion of U.S. teens that use Instagram and the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are positive values.

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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### Statistical Analysis of Teens' Use of Instagram in the U.S. and Canada

Researchers conducted two surveys about teens' use of social media, focusing specifically on Instagram. The first survey targeted a random sample of 800 U.S. teens, while the second survey focused on a random sample of 2253 Canadian teens.

**Survey Results:**
- **U.S. Teens:** 73% reported using Instagram
- **Canadian Teens:** 88% reported using Instagram

### Research Question:

*Is there a statistically significant difference between the use of social media (Instagram) among U.S. teens compared to Canadian teens?*

### Question and Answer Choices:
- Question: **Is there a statistically significant difference between the use of social media by U.S. teens and Canadian teens?**
- Answer Choices:
  1. **No, there is no difference between the proportion of U.S. teens that use Instagram and the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values.**
  2. **Yes, the proportion of U.S. teens that use Instagram is significantly less than the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values.**
  3. **Yes, the proportion of U.S. teens that use Instagram is significantly less than the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values.**
  4. **Yes, the proportion of U.S. teens that use Instagram is significantly more than the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are positive values.**
  5. **Yes, the proportion of U.S. teens that use Instagram is significantly more than the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values.**
  6. **No, there is no difference between the proportion of U.S. teens that use Instagram and the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are positive values.**

### Explanation:
The survey results provide a basis for calculating a confidence interval to determine if the observed differences in Instagram usage between U.S. and Canadian teens are statistically significant. The correct interpretation will depend on the confidence interval's limits, which indicate whether the difference
Transcribed Image Text:### Statistical Analysis of Teens' Use of Instagram in the U.S. and Canada Researchers conducted two surveys about teens' use of social media, focusing specifically on Instagram. The first survey targeted a random sample of 800 U.S. teens, while the second survey focused on a random sample of 2253 Canadian teens. **Survey Results:** - **U.S. Teens:** 73% reported using Instagram - **Canadian Teens:** 88% reported using Instagram ### Research Question: *Is there a statistically significant difference between the use of social media (Instagram) among U.S. teens compared to Canadian teens?* ### Question and Answer Choices: - Question: **Is there a statistically significant difference between the use of social media by U.S. teens and Canadian teens?** - Answer Choices: 1. **No, there is no difference between the proportion of U.S. teens that use Instagram and the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values.** 2. **Yes, the proportion of U.S. teens that use Instagram is significantly less than the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values.** 3. **Yes, the proportion of U.S. teens that use Instagram is significantly less than the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values.** 4. **Yes, the proportion of U.S. teens that use Instagram is significantly more than the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are positive values.** 5. **Yes, the proportion of U.S. teens that use Instagram is significantly more than the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values.** 6. **No, there is no difference between the proportion of U.S. teens that use Instagram and the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are positive values.** ### Explanation: The survey results provide a basis for calculating a confidence interval to determine if the observed differences in Instagram usage between U.S. and Canadian teens are statistically significant. The correct interpretation will depend on the confidence interval's limits, which indicate whether the difference
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