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A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 265 had BMIS of less than 25, 159 had BMIS that were at least 25 but less than 30, and 121 had BMIS exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? LAUSE SALT (a) State the appropriate hypothe Open SALT in a new tab e level of 0.05. Ho: P = 0.20 H: P<0.20 Ho: P = 0.20 H₂: p > 0.20 Ho: p > 0.20 H₂: P = 0.20 Ho: P = 0.20 H₂: P = 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z= P-value = What can you conclude? O Do not reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. O Do not reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese. O Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese. O Reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. (b) Explain in the context of this scenario what constitutes type I error. A type I error would be declaring that 20% or less of the population of female workers is obese, when in fact more than 20% are actually obese. A type I error would be declaring that 20% or more of the population of female workers is obese, when in fact less than 20% are actually obese. A type I error would he declaring that lore than 3000

A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 265 had BMIS of less than 25, 159 had BMIS that were at least 25 but less than 30, and 121 had BMIS exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? LAUSE SALT (a) State the appropriate hypothe Open SALT in a new tab e level of 0.05. Ho: P = 0.20 H: P<0.20 Ho: P = 0.20 H₂: p > 0.20 Ho: p > 0.20 H₂: P = 0.20 Ho: P = 0.20 H₂: P = 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z= P-value = What can you conclude? O Do not reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. O Do not reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese. O Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese. O Reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. (b) Explain in the context of this scenario what constitutes type I error. A type I error would be declaring that 20% or less of the population of female workers is obese, when in fact more than 20% are actually obese. A type I error would be declaring that 20% or more of the population of female workers is obese, when in fact less than 20% are actually obese. A type I error would he declaring that lore than 3000

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
Section10.3: Measures Of Spread
Problem 1GP
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A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 265 had BMIS of less than 25, 159 had BMIS that were at least 25 but less than 30, and 121 had BMIS exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (a) State the appropriate hypothe Open SALT in a new tab e level of 0.05. Ho: P = 0.20 H₂: P < 0.20 USE SALT Ho: P = 0.20 H₂: P >0.20 Ho: p > 0.20 Ha: P = 0.20 Ho: P = 0.20 H₂: P = 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = What can you conclude? Do not reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. O Do not reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese. O Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese. Reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. (b) Explain in the context of this scenario what constitutes type I error. A type I error would be declaring that 20% or less of the population of female workers is obese, when in fact more than 20% are actually obese. A type I error would be declaring that 20% or more of the population of female workers is obese, when in fact less than 20% are actually obese. A type I error would be declaring that less than 20% of the population of female workers is obese when in fact 3000
Transcribed Image Text:A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 265 had BMIS of less than 25, 159 had BMIS that were at least 25 but less than 30, and 121 had BMIS exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (a) State the appropriate hypothe Open SALT in a new tab e level of 0.05. Ho: P = 0.20 H₂: P < 0.20 USE SALT Ho: P = 0.20 H₂: P >0.20 Ho: p > 0.20 Ha: P = 0.20 Ho: P = 0.20 H₂: P = 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = What can you conclude? Do not reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. O Do not reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese. O Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese. Reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. (b) Explain in the context of this scenario what constitutes type I error. A type I error would be declaring that 20% or less of the population of female workers is obese, when in fact more than 20% are actually obese. A type I error would be declaring that 20% or more of the population of female workers is obese, when in fact less than 20% are actually obese. A type I error would be declaring that less than 20% of the population of female workers is obese when in fact 3000
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