Question

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.

Short answer

(a) The specified attribute is the percentage of a population sample

(b) The population consists of whole international physicians.

(c) The population proportion refers to the percentage of all foreign physicians who believe that marijuana's overall therapeutic advantages outweigh the risks and potential hazards.

(d) The value $0.76$is a sample proportion.

Step-by-step solution

Part (a) Step 1: Given information

Given in the question that, 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?"

We need to identify the specified attribute.

Part(a) Step 2: Explanation

According to the study, whether or not the total medical benefits of marijuana outweigh the risks and potential hazards is determined.

As a result, the specified attribute is the percentage of a population sample.

Part (b) Step 1: Given information

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?"

We need to identify the population .

Part(b) Step 2: Explanation

According to the study, whether or not all of marijuana's medicinal benefits outweigh the risks and potential effects is based on the belief that they do.

As a result, the population consists of whole international physicians.

Part (c) Step 1: Given information

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?"

we need to identify the population proportion.

Part (c) Step 2: Explanation

According to the study, whether or not all of marijuana's medicinal benefits outweigh the risks and potential effects is based on the belief that they do.

As a result, the population proportion refers to the percentage of all foreign physicians who believe that marijuana's overall therapeutic advantages outweigh the risks and potential hazards.

Part (d) Step 1: Given information

Given in the question that, 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?" we need to find that whether the proportion $0.76(76\%)$a sample proportion or a population proportion

Part (d) Step 2: Explanation

According to the results of the study, $76\%$of physicians replied yes, based on a sample of$1446$physicians.

$$\begin{gathered} 76\%=7610076\% \\ =0.76 \end{gathered}$$

Hence, the value $0.76$is a sample proportion.