#1Supporters of "Proposition 100" submitted 9388 signatures (that's our size) in support of this proposition. City administrators randomly selected 500 of these signatures (that's our#2 size ) to verify they came from registered voters in the city. Of the 500 signatures administrators were able to verify that 364 of the signatures were from registered voters in the city (so our value of p -hat is 364/500) . Check if the conditions for calculating a confidence interval are met . 1. The signatures were randomly selected . 2. The sample size L\#3\ ) is less than 10% of the # 4 size(9388) 3. np-hat=500^ * 364/500=364 and n(1-p-hat)=500^ * (1-364/500)=136. The conditions have been #5