According to the 2004 Canadian Community Health Survey,23 $\mathrm { H } _ { 0 }$

question 39

Multiple Choice

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) \(\mathrm { H } _ { 0 }\) : p = 0.231; \(\mathrm { H } _ { \mathrm { A } }\) : 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) \(\mathrm { H } _ { 0 }\) : p = 0.231; \(\mathrm { H } _ { \mathrm { A } }\) : 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) \(\mathrm { H } _ { 0 }\) : p = 0.231; \(\mathrm { H } _ { \mathrm { A } }\) : 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) \(\mathrm { H } _ { 0 }\) : p = 0.231; \(\mathrm { H } _ { \mathrm { A } }\) : 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) \(\mathrm { H } _ { 0 }\) : p = 0.231; \(\mathrm { H } _ { \mathrm { A } }\) : 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.

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Definitions:

Hypothesis

A prediction or educated guess based on existing knowledge that can be tested through further investigation or experimentation.

Z-scores

Standardized scores indicating how many standard deviations an element is from the mean of its distribution.

P-values

Represent the probability that the observed data would occur by chance under the null hypothesis in statistical tests.

Weight Loss Centre

A facility dedicated to helping individuals lose weight through various means such as diet, exercise, and sometimes medical intervention.