Walk to Work Alan wants to estimate the proportion of adults who walk to work. In a

Chapter 9, Problem 45

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Walk to Work Alan wants to estimate the proportion of adults who walk to work. In a survey of 10 adults, he finds 0 who walk to work. Explain why a 95% confidence interval using the normal model yields silly results. Then compute and interpret a 95% confidence interval for the proportion of adults who walk to work using Agresti and Coulls method. (d) Is it possible that the proportion of adults who say theyalways wash their hands in public rest rooms is less than0.85? Is this likely?(e) In the observational study, 4679 of the 6076 adults wereobserved washing their hands. Use this result to obtain apoint estimate for the proportion of adults who wash theirhands in public rest rooms.(f ) Verify that the requirements for constructing a confidenceinterval for p from part (e) are satisfied.(g) Using the results from the observational study, construct a95% confidence interval for the proportion of adults whowash their hands in public rest rooms.(h) Is it possible that the proportion of adults who wash their handsin public rest rooms is greater than 0.85? Is this likely?(i) Based on your findings in parts (a) through (h), what mightyou conclude about the proportion of adults who say theyalways wash their hands versus the proportion of adults whoactually wash their hands in public rest rooms? Why do youthink this is?