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The rails to trails program involves the conversion of old rail corridors into multipurpose trails for recreation and transportation. Researchers were interested in obtaining
The rails to trails program involves the conversion of old rail corridors into multipurpose trails for recreation and transportation. Researchers were interested in obtaining information on characteristics of users and nonusers of a 10-mile-long paved greenway trail in Greenville, South Carolina, that connects residential areas to both a university campus and the commercial downtown area of the city. Random digit dialing of residential numbers was done using a database of exchanges. A total of 2461 persons were contacted, and 726 of them completed the survey. When a household was reached, surveyors asked to speak to the adult over 18 with the next birthday. No cell phone numbers were included in the sample. The table gives the number of adults between 18 and 64 and over 65 in both the sample and the county (only 689 of the 726respondents to the survey provided data on their ages). The county counts were obtained from the U.S. Census Bureau: In the Sample In Greenville County Age 18-64 436 356,123 Age 65 or older 253 105,176 Total 689 461,299 1. What percentage of the sample is between 18 and 64? Round your answer to two decimal places. percentage of the sample: % 2. What percentage of the population is between 18 and 64? Round your answer to two decimal places. percentage of the population: _% 3. Is this difference surprising, given the sampling method described? Explain briefly. a) The difference in the percentages is because people over the age of 64 living in Greenville, North Caroline, are more likely to take part in the survey. b) The difference in the percentages is because the survey respondents were not honest about their age. c) There is no apparent explanation for the difference in percentages. d) The difference in the percentages is because cell phone users were not included in the sample and younger adults are more likely to only have a cellphone and no landline. 4. Among the 726 respondents, 181, or 24.9%, reported using the trail in the past six months. Is this sampling method giving biased information about the percentage of Greenville County adults who have used the trail in the past six months? a) This sampling method is likely to give unbiased information, because the sample is representative of the population of interest. b) This sampling method is likely to give biased information, because the sample is representative of the population of interest. c) This sampling method is likely to give unbiased information, because the sample is not representative of the population of interest. d) This sampling method is likely to give biased information, because the sample is not representative of the population of interest. 5. If the sampling method is biased, what is the likely direction of the bias? a) The sampling method is likely to overestimate the number of adults in the 18-64 age group who use the 10-mile-long paved greenway trail in Greenville, South Carolina. b) The sampling method is not biased. c) The sampling method is likely to underestimate the number of adults in the 18-64 age group who use the 10-mile-long paved greenway trail in Greenville, South Carolina.
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