Attempts: 2 Keep the Highest: 2/7 Aa Aa 4. Constructing a confidence interval fo
ID: 3338776 • Letter: A
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Attempts: 2 Keep the Highest: 2/7 Aa Aa 4. Constructing a confidence interval for the difference between two population proportions Most major survey research organizations do not include wireless telephone numbers when conducting random-digit-dial telephone surveys. If there are differences between persons with and without landline phones, using a random-digit-dial telephone survey may introduce bias into the survey results. Data on a broad range of health topics are collected through personal household interviews of a representative sample of the U.S. civilian non-institutionalized population in the National Health Interview Survey (NHIS). As respondents are also asked about their telephones, the NHIS data allow you to compare the health insurance status of persons with and without landline phones. Let pi denote the proportion of adults living in wireless phone-only homes who are uninsured, and p2 denote the proportion of adults living in landline-phone homes who are uninsured. Independent random samples are selected from the two populations. Sample 1, with a sample size n1 = 69, provides a sample proportion p1 = 0.29. Sample 2, with a sample size n2 = 128, provides a sample proportion p2 = 0.14. (The sample results are representative of the data collected in the NHIS, but the sample sizes are much smaller.) Use the Distributions tool below to help you answer some of the questions that follow. Standard Normal Distribution Mean = 0 Standard Deviation1 -3 -2Explanation / Answer
a) 95% interval
CI = {0.026, 0.272}
b) a 95% confidence level indicates that if you take 100 random samples from the population, you could expect approximately 95 of the samples to produce intervals that contain the population difference.
population difference, positive, greater
c) more, report high
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