A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)?, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 262 had BMIS of less than 25, 159 had BMIS that were at least 25 but less than 30, and 122 had BMIS exceeding 30. s there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? n USE SALT (a) State the appropriate hypotheses with a significance level of 0.05. O Ha: p = 0.20 H,:p> 0.20 O Ho: p > 0.20 H:p= 0.20 O Ho: p = 0.20 H:p< 0.20 O Hg: p = 0.20 H: 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= 1.27 P-value = 0699 Jx What can you conclude? 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 not 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 Do not reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese.
A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)?, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 262 had BMIS of less than 25, 159 had BMIS that were at least 25 but less than 30, and 122 had BMIS exceeding 30. s there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? n USE SALT (a) State the appropriate hypotheses with a significance level of 0.05. O Ha: p = 0.20 H,:p> 0.20 O Ho: p > 0.20 H:p= 0.20 O Ho: p = 0.20 H:p< 0.20 O Hg: p = 0.20 H: 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= 1.27 P-value = 0699 Jx What can you conclude? 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 not 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 Do not reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 24%? (Round your answer to four decimal places.)
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![A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)?, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 262 had BMIS of less than 25, 159 had
BMIS that were at least 25 but less than 30, and 122 had BMIS exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese?
n USE SALT
(a) State the appropriate hypotheses with a significance level of 0.05.
O Ho: p = 0.20
Hg:p > 0.20
O Ho: p > 0.20
H: p = 0.20
O Ho: p = 0.20
H: p < 0.20
O Ho: p = 0.20
Hg: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.)
1.27
P-value =
.0699
What can you conclude?
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 not 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 Do not reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd09d3726-e6d4-40fb-b56b-e32001dd8288%2F3b25b0ae-d3c5-47fe-907a-c11af5a8bc3d%2F4dsxssj_processed.png&w=3840&q=75)
Transcribed Image Text:A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)?, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 262 had BMIS of less than 25, 159 had
BMIS that were at least 25 but less than 30, and 122 had BMIS exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese?
n USE SALT
(a) State the appropriate hypotheses with a significance level of 0.05.
O Ho: p = 0.20
Hg:p > 0.20
O Ho: p > 0.20
H: p = 0.20
O Ho: p = 0.20
H: p < 0.20
O Ho: p = 0.20
Hg: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.)
1.27
P-value =
.0699
What can you conclude?
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 not 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 Do not reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese.
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