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Chapter 11: Q.1 (page 479)

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

Expert verified

(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 0.76is a sample proportion.

Step by step solution

01

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.

02

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.

03

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 .

04

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.

05

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.

06

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.

07

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

08

Part (d) Step 2: Explanation

According to the results of the study, 76%of physicians replied yes, based on a sample of1446physicians.

76%=7610076%=0.76

Hence, the value 0.76is a sample proportion.

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Most popular questions from this chapter

Refer to the study on ordering vegetarian considered in Examples 11.8-11.10.

a. Without making a guess for the observed values of the sample proportions, find the common sample size that will ensure a margin of error of at most 0.01for a 90%confidence interval. Hint: Use Exercise 11.133.

b. Find a90%confidence interval for p1-p2if, for samples of the size determined in part (a), 38.3%of the men and 43.7%of the women sometimes order veg.

c. Determine the margin of error for the estimate in part (b), and compare it to the required margin of error specified in part (a).

Margin of error=0.02

Confidence level=95%

Educated guess=0.6

(a) Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5that of the educated guess.

(b). Compare your answer to the corresponding one and explain the reason for the difference, if any.

Smallpox Vaccine. ABCNEWS.com published the results of a poll that asked U.S. adults whether they would get a smallpox shot if it were available. Sampling, data collection, and tabulation were done by TNS Intersearch of Horsham, Pennsylvania. When the risk of the vaccine was described in detail, 4 in 10 of those surveyed said they would take the smallpox shot. According to the article, "the results have a three-point margin of error" (for a 0.95 confidence level). Use the information provided to obtain a 95% confidence interval for the percentage of all U.S. adults who would take a smallpox shot, knowing the risk of the vaccine.

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a. Determine the margin of error for a 90%confidence interval.

b. Without doing any calculations, indicate whether the margin of error is larger or smaller for a 95%confidence interval. Explain your answer

In a New York Times article "More Mother Breast-Feed, in First Months at Least," G. Harris reported that 779new mothers breast-feed their infants at least briefly, the highest rate seen in the United States in more than a decade. His report was based on data for 434 infants from the National Health and Nutrition Examination Survey, which involved in-person interviews and physical examinations. Find a 90% confidence interval for the percentage of all new mothers who breast-feed their infants at least briefly.
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