1. In a survey of 5624 randomly selected U.S. adults, 42% reported that they have at least one chronic health condition, such as diabetes or high blood pressure. Complete parts (a) through (d) below. (10 points) a. What is 42% of 5624 adults? (round to 2 decimal places) b. Could the result from part (a) be the actual number of survey subjects who have at least one chronic condition? (circle one) i. Yes, the result from part (a) could be the actual number of survey subjects because the survey numbers are accurate. ii. Yes, the result from part (a) could be the actual number of survey subjects because the results are statistically significant. iii. No, the result from part (a) could not be the actual number of survey subjects because a count of people must result in a whole number. iv. No, the result from part (a) could not be the actual number of survey subjects because that result is too high. c. What is the actual number of survey subjects who have at least one chronic condition? (fill in the blank) A possible value for the actual number of survey subjects is adults. d. Among those surveyed, 2764 were called by landline and 2860 were called by cell phone. What percentage of the survey subjects were called by cell phone? % (round to 1 decimal place)
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Adi S.
4. Comparing two population proportions (independent samples) 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 noninstitutionalized population in the National Health Interview Survey (NHIS). Since respondents are also asked about their telephones, the NHIS data allow you to compare the health status of persons with and without landline phones. Let p1 denote the proportion of adults living in wireless phone-only homes who are obese and p2 denote the proportion of adults living in landline phone homes who are obese. Independent random samples are selected from the two populations. Sample 1, with sample size n1 = 515, provides a sample proportion p̂1 ≈ 0.23. Sample 2, with sample size n2 = 760, provides a sample proportion p̂2 ≈ 0.28. (The sample results are representative of the data collected in the NHIS, but the sample sizes are much smaller.) Use the Distributions tool to help you answer the questions that follow. The 95% confidence interval for p1 - p2 is ________ to ________. Based on the 95% confidence interval for p1 - p2, you conclude that obesity is ________ prevalent among adults who live in wireless phone-only homes compared with adults who live in landline phone homes. Thus, a random-digit-dial health survey can be expected to ________ the proportion of U.S. adults who are obese. Conduct a hypothesis test at α = .05 level of significance to determine whether obesity is less prevalent among adults living in wireless phone-only homes compared to adults living in landline phone homes. Under the assumption that the null hypothesis is true, the standard error of p̂1 - p̂2 is ________. The test statistic is ________. The P-value is ________. Therefore, you ________ conclude that obesity is less prevalent among adults living in wireless phone-only homes compared to adults living in landline phone homes.
Lucas F.
For problems 1 -6, describe the type of sampling being considered by a school board for a county system with 45 schools to get feedback from teachers on an important issue: a. Simple Random Sample d. Systematic b. Stratified e. Convenience c. Cluster 1. They randomly select 9 schools and interview all of the teachers in those schools. 5. The school board decides that the teachers at different school levels will have a different opinion. This district has 30 elementary schools, 10 middle schools and 5 high schools. Therefore, they design the study so that they randomly select 6 elementary schools, 2 middle schools and 1 high school (20% of each type) and interview all of the teachers of those selected schools. 6. With the same school board as in the problem above, the board decides to do a multistage sampling method. They are going to randomly pick 9 schools and then select 2 teachers from each grade level at each school to interview. Which two sampling methods listed above are being used? For problems 7-8: A popular website places opinion poll questions next to many of its news stories. A participant simply clicks their response to join the sample. One of the questions in January 2008 was “Do you plan to diet this year?” More than 30,000 people responded, with 68% saying “yes.” 7. What type of bias would this poll represent? (Explain your answer) 8. What can you conclude? a. about 68% of Americans like to diet b. the results tell us little about the population because of bias c. the sample is too small to draw a conclusion
Ameer S.
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