Hypothesis testing of proportions using 3 methods 9 3 a Benford s Law states that in a random sample of numbers used in measurement with multiple digit integer values will be approximately 30 1 will have the leading digit of 1 Such a data set is being investigated for possible fraud The data set had 33 of its 20 000 pieces of data having a leading digit of 1 Is this data set odd Test this hypothesis using a confidence level of 99 Use z and p values tests b Benford s Law states that in a random sample of numbers used in measurement with multiple digit integer values will be approximately 30 1 will have the leading digit of 1 Such a data set is being investigated for possible fraud The data set had 29 5 of its 12 000 pieces of data having a leading digit of 1 Is this data set odd Test this hypothesis using a confidence level of 99 Use interval and p value tests c The historic rate of property crime in Metropolis City has been 12 for every 1 000 residents each year Last year an election year in the city a candidate for mayor claimed that crime had increased She cited a report of 190 property crimes for the 15 000 residents of Metropolis in the last year Test her hypothesis with a 90 confidence level Use both z value and interval tests