Obesity is an increasing problem in America among all age groups. A recent study reported 1276 individuals in a sample of 4115 adults were found to be obese (a body mass index exceeding 30; this index is a measure of weight relative to height). Five years ago, survey based on people's own assessment revealed that 20% of adult Americans considered themselves obese. Does the most recent data suggest that the true proportion of adults who are obese is more than 1.4 times the percentage from the self-assessment survey? Carry out a test using a significance level of 5%. D Question 1 Determine the critical value O z = 1.645 O t- -1.645 O t= 1.96 O z= -1.282 O z - 1.282 O z = 1.96

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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
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Obesity is an increasing problem in America among all age groups. A recent study reported 1276 individuals
in a sample of 4115 adults were found to be obese (a body mass index exceeding 30; this index is a
measure of weight relative to height). Five years ago, survey based on people's own assessment revealed
that 20% of adult Americans considered themselves obese. Does the most recent data suggest that the true
proportion of adults who are obese is more than 1.4 times the percentage from the self-assessment
survey? Carry out a test using a significance level of 5%.
D
Question 1
Determine the critical value.
O z = 1.645
O t= -1.645
O t= 1.96
O z = -1.282
O z - 1.282
O z = 1.96
Transcribed Image Text:Obesity is an increasing problem in America among all age groups. A recent study reported 1276 individuals in a sample of 4115 adults were found to be obese (a body mass index exceeding 30; this index is a measure of weight relative to height). Five years ago, survey based on people's own assessment revealed that 20% of adult Americans considered themselves obese. Does the most recent data suggest that the true proportion of adults who are obese is more than 1.4 times the percentage from the self-assessment survey? Carry out a test using a significance level of 5%. D Question 1 Determine the critical value. O z = 1.645 O t= -1.645 O t= 1.96 O z = -1.282 O z - 1.282 O z = 1.96
Question 2
Calculate the P-value for this test.
O P-value = 1.2
O P-value = 0.04
O P-value = 0.025
O P-value - 0.5
O P-value < 0.0001 (highly significant)
Question 3
Based on your calculations, state your decision and conclusion,
O Reject the null hypothesis and conclude that the recent true proportion of adults who are obese is more than 1.4 times the percentage from the
previous self-assessment survey.
O Do not reject the null hypothesis and conclude that the recent true proportion of adults who are obese is more than 1.4 times the percentage from
the previous self-assessment survey.
O Reject the null hypothesis and conclude that the recent true proportion of adults who are obese is 1.4 times the percentage from the previous self-
assessment survey.
O Do not reject the null hypothesis and conclude that the recent truc proportion of adults who are obese is lower than 1,4 times the percentage from
the previous self-assessment survey.
Transcribed Image Text:Question 2 Calculate the P-value for this test. O P-value = 1.2 O P-value = 0.04 O P-value = 0.025 O P-value - 0.5 O P-value < 0.0001 (highly significant) Question 3 Based on your calculations, state your decision and conclusion, O Reject the null hypothesis and conclude that the recent true proportion of adults who are obese is more than 1.4 times the percentage from the previous self-assessment survey. O Do not reject the null hypothesis and conclude that the recent true proportion of adults who are obese is more than 1.4 times the percentage from the previous self-assessment survey. O Reject the null hypothesis and conclude that the recent true proportion of adults who are obese is 1.4 times the percentage from the previous self- assessment survey. O Do not reject the null hypothesis and conclude that the recent truc proportion of adults who are obese is lower than 1,4 times the percentage from the previous self-assessment survey.
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