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Chapter 13, Level 2 Self-Quiz: A
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Read the passage that follows. Identify the correct sample and population.
In the last year, more than 5,000 people in the northeastern United States have contracted a rare, severe, and sometimes fatal tick disease called babesiosis. The microscopic organism infects red blood cells, and symptoms take anywhere from one to eight weeks to manifest. Researchers have found that 62% of the 5,000 people infected with babesiosis had pre-existing autoimmune disorders, while the number of otherwise healthy individuals was insignificant. Thus, we can conclude that people with autoimmune problems are especially vulnerable to this tick-borne disease.
Sample: All people; Population: 5,000 people
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Sample: 5,000 people; Population: All people
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Sample: 62% of the population; Population: All people
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Sample: People with autoimmune disease; Population: All people
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Read the passage that follows. Identify the sample size, and whether or not the sample is representative of the population referred to in the conclusion.
In the last year, more than 5,000 people in the northeastern United States have contracted a rare, severe, and sometimes fatal tick disease called babesiosis. The microscopic organism infects red blood cells, and symptoms take anywhere from one to eight weeks to manifest. Researchers have found that 62% of the 5,000 people infected with babesiosis had pre-existing autoimmune disorders, while the number of otherwise healthy individuals was insignificant. Thus, we can conclude that people with autoimmune problems are especially vulnerable to this tick-borne disease.
Sample size: The size is large enough, and we are told the source of the data, namely people in the United States infected with babesiosis. The population in the conclusion is the class of people with autoimmune problems, but since the sample is taken from an area where the concentration of tick-borne diseases is high, it's not clear that the sample is representative.
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Sample size: The size is large enough, but we are not told the source of the data. Since the sample size is large enough, the sample is representative. The population in the conclusion is the class of people with autoimmune problems, but since the sample is taken from an area where the concentration of tick-borne diseases is high, it's not clear that the sample is representative.
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Sample size: The size is not large enough, and we are not told the source of the data. Since the sample size is not large enough, the sample is not representative.
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Sample size: The size is large enough. The population in the conclusion is the US population, but since the sample consists of people with autoimmune disease, the sample is not representative.
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Read the passage that follows. Identify the correct sample and population.
Nine out of 10 students surveyed claimed the graduation requirements for a baccalaureate degree at Quindle College were too stringent. Therefore, graduation requirements at colleges nationwide are too stringent. Ninety percent of students can't be wrong, so college administrators and academic departments need to revisit their degree programs.
Sample: College administrators and academic departments; Population: College students nationwide
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Sample: College students nationwide; Population: College administrators and academic departments
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Sample: College students nationwide; Population: Students surveyed at Quindle College
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Sample: Students surveyed at Quindle College; Population: College students nationwide
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Read the passage that follows. Identify the sample size, and whether or not the sample is representative of the population referred to in the conclusion.
Nine out of 10 students surveyed claimed the graduation requirements for a baccalaureate degree at Quindle College were too stringent. Therefore, graduation requirements at colleges nationwide are too stringent. Ninety percent of students can't be wrong, so college administrators and academic departments need to revisit their degree programs.
Sample size: We are not given the sample size. Nine out of 10 could mean 10 people, 100 people, 1,000 people, etc., took the survey.
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Sample size: The sample size is 10. Since college student are very much alike, it is likely the sample is representative of the population.
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Sample size: We are not given the sample size. Nine out of 10 could mean 10 people, 100 people, 1,000 people, etc., took the survey. If the sample is very small, the generalization to all college students is erroneous, i.e., it's unlikely the sample is representative of the population.
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Sample size: The sample size is 10. If the sample is very small, the generalization to all college students is erroneous, i.e., it's unlikely the sample is representative of the population.
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