Gun violence is a serious problem in the United States. In 2011, 478,400 violent crimes were committed with a firearm (Planty and Truman, 2013). While down dramatically since the 1990s, the rate of non-fatal firearm victimizations rose from 2008 to 2011. Firearms deaths from all causes (homicides, suicides, accidental, and undetermined) averaged over 31,000 annually in 2005-2011 (CDC WISQARS, 2013; Hoyert and Xu, 2012). Non-fatal gunshot injuries totaled 81,396 in 2012; a rise in the injury rate per 100,000 from 20.5 in 2002 to 25.9 in 2012 (CDC, 2013). In 2012, the proportion of American households who own a gun in their homes is 32%. As a Statistician: You wonder if the rate of gun ownership in American households is different from the data in 2012. You decided to conduct a random sample of 1121 American households and asked respondents whether or not they keep a gun in their homes. 34.4% of respondents said that they have at least one firearm in their home. Test the claim at the 3% level of significance that the proportion of American households have at least one firearm in their home is different than 2012. [1 pt] State the Claim in words. [2 pts] Null and Alternative Hypotheses-use appropriate notation. [2 pts] Verify the conditions. [3 pts] Compute the z-test statistic using the formula round 4 decimal places. [3 pts] Demonstrates how to find the p-value. [1 pt] Make a decision. [4 pts] State and interpret the conclusion