Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 9.1, Problem 47AYU
Putting It Together: Hand Washing The American Society for Microbiology (ASM) and the Soap and Detergent Association (SDA) jointly commissioned two separate studies, both of which were conducted by Harris Interactive. In one of the studies, 1001 adults were interviewed by telephone and asked about their handwashing habits. In the telephone interviews, 921 of the adults said they always wash their hands in public restrooms. In the other study, the hand-washing behavior of 6076 adults was inconspicuously observed within public restrooms in four U.S. cities and 4679 of the 6076 adults were observed washing their hands.
- a. In the telephone survey, what is the variable of interest? Is it qualitative or quantitative?
- b. What is the sample in the telephone survey? What is the population to which this study applies?
- c. Verify that the requirements for constructing a confidence interval for the population proportion of adults who say they always wash their hands in public restrooms are satisfied.
- d. Using the results from the telephone interviews, construct a 95% confidence interval for the proportion of adults who say they always wash their hands in public restrooms.
- e. In the study where hand-washing behavior was observed, what is the variable of interest? Is it qualitative or quantitative?
- f. We are told that 6076 adults were inconspicuously observed, but were not told how these adults were selected. We know randomness is a key ingredient in statistical studies that allows us to generalize results from a sample to a population. Suggest some ways randomness might have been used to select the individuals in this study.
- g. Verify the requirements for constructing a confidence interval for the population proportion of adults who actually washed their hands while in a public restroom.
- h. Using the results from the observational study, construct a 95% confidence interval for the proportion of adults who wash their hands in public restrooms.
- i. Based on your findings in parts (a) through (h), what might you conclude about the proportion of adults who say they always wash their hands versus the proportion of adults who actually wash their hands in public restrooms?
- j. Cite some sources of variability in both studies.
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Chapter 9 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 9.1 - A _____ _____ is the value of a statistic that...Ch. 9.1 - The _____ ___ _____ represents the expected...Ch. 9.1 - True or False: A 95% confidence interval for a...Ch. 9.1 - The value z2 represents the of the distribution.Ch. 9.1 - As the level of confidence of a confidence...Ch. 9.1 - As the sample size used to obtain a confidence...Ch. 9.1 - In Problems 710, determine the critical value z/2...Ch. 9.1 - In Problems 710, determine the critical value z/2...Ch. 9.1 - In Problems 710, determine the critical value z/2...Ch. 9.1 - In Problems 710, determine the critical value z/2...
Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - Prob. 19AYUCh. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - NW You Explain It! New Deal Policies In response...Ch. 9.1 - Prob. 22AYUCh. 9.1 - You Explain It! Valentines Day A Rasmussen Reports...Ch. 9.1 - Prob. 24AYUCh. 9.1 - NW Giving Blood A survey of 2306 adult Americans...Ch. 9.1 - Saving for Retirement? A Retirement Confidence...Ch. 9.1 - Luxury or Necessity? 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Jane wants to estimate the proportion...Ch. 9.1 - Walk to Work Alan wants to estimate the proportion...Ch. 9.1 - Putting It Together: Hand Washing The American...Ch. 9.1 - Prob. 48AYUCh. 9.1 - Prob. 49AYUCh. 9.1 - Prob. 50AYUCh. 9.1 - Prob. 51AYUCh. 9.1 - Prob. 52AYUCh. 9.1 - Prob. 53AYUCh. 9.1 - The 114th Congress of the United States of America...Ch. 9.2 - As the number of degrees of freedom in the...Ch. 9.2 - True or False: The t-distribution is centered at .Ch. 9.2 - The notation t is the t-value such that the area...Ch. 9.2 - True or False: The value of t0.10 with 5 degrees...Ch. 9.2 - True or False: To construct a confidence interval...Ch. 9.2 - Prob. 6AYUCh. 9.2 - NW a. Find the t-value such that the area in the...Ch. 9.2 - a. Find the t-value such that the area in the...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 1316, determine the point estimate of...Ch. 9.2 - In Problems 1316, determine the point estimate of...Ch. 9.2 - Prob. 15AYUCh. 9.2 - In Problems 1316, determine the point estimate of...Ch. 9.2 - A simple random sample of size n is drawn from a...Ch. 9.2 - A simple random sample of size n is drawn from a...Ch. 9.2 - Prob. 19AYUCh. 9.2 - A simple random sample of size n is drawn. The...Ch. 9.2 - You Explain It! Hours Worked In a survey conducted...Ch. 9.2 - You Explain It! Sleeping A 90% confidence interval...Ch. 9.2 - Prob. 23AYUCh. 9.2 - Prob. 24AYUCh. 9.2 - Hours Worked Revisited For the Hours Worked survey...Ch. 9.2 - Sleeping Revisited Refer to the Sleeping results...Ch. 9.2 - Blood Alcohol Concentration A random sample of 51...Ch. 9.2 - Hungry or Thirsty? How much time do Americans...Ch. 9.2 - Tootsie Pops A Tootsie Pop is a sucker with a...Ch. 9.2 - How Much Do You Read? 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