Statistical Lab Background Keeping hands clean is one of the most important steps we can take to avoid getting sick and spreading germs to others. Many diseases and conditions are spread by not washing hands with soap and clean, running water. The Centers for Disease Control and Prevention (CDC) recommends cleaning hands in a specific way to avoid getting sick and spreading germs to others. A person washing their hands in a sink. Guidelines In this lab, you will conduct a large-sample test for a population proportion for two related studies and compare their results. About the Data The data were collected from two studies conducted by Harris Interactive in 2010.In 2010, Harris Interactive conducted two studies jointly commissioned by the American Society for Microbiology (ASM) and the Soap Detergent Association (SDA). In one study, 1,006 randomly selected American adults were interviewed by telephone and asked about their hand-washing habits. In the other study, the hand-washing behavior of 6,028 randomly selected adults was discreetly observed within six public restrooms in four U.S. cities. In the telephone interview, 966 of the adults said they always wash their hands after using public restrooms. Use this result to obtain a point estimate for the proportion of American adults who say they always wash their hands in public restrooms. (Round your answer to three decimal places.) 13 = [:1 In 2005, a similar study was conducted by Harris Interactive where 91% of respondents reported they always wash their hands alter using public restrooms. (a) Is there a statistically signicant increase in the proportion of American adults who report always washing their hands alter using public restrooms? Conduct a hypothesis test to answer this question at a signicance level of a = 0.05. The hypothesis statement for this test: 0 Ho: p = 0.91 Ha: p 0.91 Ha: p = 0.91 O Ho: p = 0.91 Ha: p > 0.91 O Ho: p 0.91 Ha: p 2 0.91 O Ho: [2 = 0.91 Ha: p a: 0.91 O Ho: p 0.83 O Ho: p = 0.83 Ha: p s 0.83 O Ho: p 0.83 Ha: p 2 0.83 O Ho: p > 0.83 Ha: p = 0.83 O HO: p = 0.83 Ha: p