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QUESTION 1 Researchers conducted two surveys about teens are their use of social media. The first survey asked a random sample of 800 U.S. teens abo their use of Instagram. A second survey asked the same questions to a random sample of 2253 Canadian teens. In these two studies, 73% ot teens and 88% of Canadian teens said that they use Instagram. Use these results to answer the following questions about the proportion of U and Canadian teens that use Instagram. (Round to the nearest whole person as needed). For the U.S. teens, the number of success within the sample is For the U.S. teens, the number of failures within the sample is For the Canadian teens, the number of success within the sample is for the Canadian teens, the number of failures within the sample is

QUESTION 1 Researchers conducted two surveys about teens are their use of social media. The first survey asked a random sample of 800 U.S. teens abo their use of Instagram. A second survey asked the same questions to a random sample of 2253 Canadian teens. In these two studies, 73% ot teens and 88% of Canadian teens said that they use Instagram. Use these results to answer the following questions about the proportion of U and Canadian teens that use Instagram. (Round to the nearest whole person as needed). For the U.S. teens, the number of success within the sample is For the U.S. teens, the number of failures within the sample is For the Canadian teens, the number of success within the sample is for the Canadian teens, the number of failures within the sample is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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### Question 1 Researchers conducted two surveys about teens and 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. (Round to the nearest whole person as needed). 1. **For the U.S. teens, the number of successes within the sample is**: 2. **For the U.S. teens, the number of failures within the sample is**: 3. **For the Canadian teens, the number of successes within the sample is**: 4. **For the Canadian teens, the number of failures within the sample is**: --- ### Detailed Explanation To calculate the number of successes and failures within each sample, use the following formulas: - Number of successes = Total sample size × Proportion of teens using Instagram - Number of failures = Total sample size × (1 - Proportion of teens using Instagram) Using these formulas, fill in the blanks above. Example calculations: 1. **U.S. Teens**: - Sample size: 800 - Proportion using Instagram: 73% (0.73) - Proportion not using Instagram (failures): 1 - 0.73 = 0.27 - Number of successes: 800 × 0.73 ≈ 584 - Number of failures: 800 × 0.27 ≈ 216 2. **Canadian Teens**: - Sample size: 2253 - Proportion using Instagram: 88% (0.88) - Proportion not using Instagram (failures): 1 - 0.88 = 0.12 - Number of successes: 2253 × 0.88 ≈ 1983 - Number of failures: 2253 × 0.12 ≈ 270 ### Conclusion By rounding the numbers to the nearest whole person, the calculated fields can be filled in as follows: - For the U.S. teens, the number of successes within the sample is **584**. - For the U.S. teens, the
Transcribed Image Text:### Question 1 Researchers conducted two surveys about teens and 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. (Round to the nearest whole person as needed). 1. **For the U.S. teens, the number of successes within the sample is**: 2. **For the U.S. teens, the number of failures within the sample is**: 3. **For the Canadian teens, the number of successes within the sample is**: 4. **For the Canadian teens, the number of failures within the sample is**: --- ### Detailed Explanation To calculate the number of successes and failures within each sample, use the following formulas: - Number of successes = Total sample size × Proportion of teens using Instagram - Number of failures = Total sample size × (1 - Proportion of teens using Instagram) Using these formulas, fill in the blanks above. Example calculations: 1. **U.S. Teens**: - Sample size: 800 - Proportion using Instagram: 73% (0.73) - Proportion not using Instagram (failures): 1 - 0.73 = 0.27 - Number of successes: 800 × 0.73 ≈ 584 - Number of failures: 800 × 0.27 ≈ 216 2. **Canadian Teens**: - Sample size: 2253 - Proportion using Instagram: 88% (0.88) - Proportion not using Instagram (failures): 1 - 0.88 = 0.12 - Number of successes: 2253 × 0.88 ≈ 1983 - Number of failures: 2253 × 0.12 ≈ 270 ### Conclusion By rounding the numbers to the nearest whole person, the calculated fields can be filled in as follows: - For the U.S. teens, the number of successes within the sample is **584**. - For the U.S. teens, the
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