Asked by Priscilla Trujillo on May 06, 2024

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According to the 2004 Canadian Community Health Survey,23.1% of Canadians aged 18 or older were considered obese; that is,they had a body mass index (BMI) of 30 or higher.Suppose you believe that the percentage of obese Canadians has increased since 2004 and wish to test your belief.A current survey in 2014 of 1000 random Canadians found that 245 were obese.Test an appropriate hypothesis and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.

A) H0\mathrm { H } _ { 0 }H0 : p = 0.231; HA\mathrm { H } _ { \mathrm { A } }HA : p < 0.231; z = -1.05; P-value = 0.1469.This data shows strong evidence of an increase from the 23.1% of obese Canadians.
B) H0\mathrm { H } _ { 0 }H0 : p = 0.231; HA\mathrm { H } _ { \mathrm { A } }HA : p < 0.231; z = -1.05; P-value = 0.8531.This data shows strong evidence of an increase from the 23.1% of obese Canadians.
C) H0\mathrm { H } _ { 0 }H0 : p = 0.231; HA\mathrm { H } _ { \mathrm { A } }HA : p > 0.231; z = 1.05; P-value = 0.1469.This data shows virtually no evidence of an increase from the 23.1% of obese Canadians.
D) H0\mathrm { H } _ { 0 }H0 : p = 0.231; HA\mathrm { H } _ { \mathrm { A } }HA : p > 0.231; z = -1.05; P-value = 0.0594.This data shows virtually no evidence of an increase from the 23.1% of obese Canadians.
E) H0\mathrm { H } _ { 0 }H0 : p = 0.231; HA\mathrm { H } _ { \mathrm { A } }HA : p > 0.231; z = 1.05; P-value = 0.8531.This data shows virtually no evidence of an increase from the 23.1% of obese Canadians.

Body Mass Index

A numerical computation of a person's weight in relation to their height, often used to categorize underweight, normal weight, overweight, and obesity.

Canadian Community Health Survey

A national survey conducted by Statistics Canada that collects information related to health status, healthcare use, and health determinants for the Canadian population.

Obese Canadians

Refers to the population segment in Canada that has a body mass index (BMI) of 30 or higher, indicating obesity.

  • Understand the concept of hypothesis testing, including the formulation of null and alternative hypotheses.
  • Grasp the significance and interpretation of P-values in hypothesis testing.
  • Recognize appropriate hypothesis testing procedures for different contexts and data types.
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KJ
Katie JohnsonMay 11, 2024
Final Answer :
C
Explanation :
The correct hypothesis for testing an increase is H0\mathrm { H } _ { 0 }H0 : p = 0.231; HA\mathrm { H } _ { \mathrm { A } }HA : p > 0.231. A z-score of 1.05 with a P-value of 0.1469 indicates that there is not strong evidence to reject the null hypothesis, suggesting virtually no evidence of an increase in the percentage of obese Canadians from 23.1%.