Concept explainers
Medical Marijuana? An international poll of physicians was conducted on the New England Journal of Medicine website asking “Do you believe that the overall medicinal benefits of marijuana outweigh the risks and potential harms?” Identify the
- a. specified attribute.
- b. population.
- c. population proportion.
- d. Of the 1446 physicians who responded, 76% said yes. Is the proportion 0.76 (76%) a sample proportion or a population proportion? Explain your answer.
a.
Identify the specified attribute.
Explanation of Solution
Given info:
In a poll conducted on the physicians which askedabout“Do you believe that the overall medicinal benefits of marijuana out-weigh the risks and potential harms”.
Justification:
From the information, it is observed that the study is about the medicinal benefits of marijuana. Therefore, the feeling that the overall medicinal benefits of marijuana out-weigh the risks and potential harms is considered as specified attribute.
b.
Identify the population.
Answer to Problem 1RP
The population is all international physicians.
Explanation of Solution
Justification:
Population:
Population consists of the complete subjects that are included in the study for making inferences.
From the information, it is observed that the study is about the medicinal benefits of marijuana of all international physicians. Therefore, all international physiciansis considered as population.
c.
Identify the population proportion.
Explanation of Solution
Justification:
Population proportion:
The proportion that is calculated from the population which has a specific attribute is termed as the population proportion.
From the information, it is observed that the study is about the medicinal benefits of marijuana of all international physicians.
Therefore, the population proportion is proportion of international physicians in the sample who are feeling that the overall medicinal benefits of marijuana outweigh the risks and potential harms.
d.
Check whether the proportion 0.76 is a sample proportion or a population proportion.
Answer to Problem 1RP
The proportion represents sample proportion.
Explanation of Solution
Justification:
Population proportion:
The proportion that is calculated from the population which has a specific attribute is termed as the population proportion.
Sample proportion:
The fraction of number of members sampled which have a specified attribute and the sample size n aretermed as the sample proportion.
Here, 76% out of 1,446 physicians said yes. Hence,the proportion 0.76 is for the sample of 1,446 physicians. Therefore,it represents sample proportion.
The overall international physicians would be more than 1,446.
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Introductory Statistics (10th Edition)
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