3. [-I4 Points] DETAILS I MYNOTES H ASKYOURTEACHER H PRACTICEANOTHER In 2014, a survey stated that 56% of 675 randomly sampled North Carolina residents planned to set off fireworks on July 4th. a) Determine the margin of error for the 95% confidence interval for the proportion of North Carolina residents that plan to set off reworks. Give your answer to three decimal places. Margin of Error = % b) How many randomly sampled residents do we need to survey if we want the 95% margin of error to be less than 3%? Sample size 2 People Submit Answer 4. [2118 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In June 2012, a CBS/New York Times Poll asked 942 randomly selected Americans whether they approve of the job the US Supreme Court is doing. 457 approved and 485 disapproved. We wish to estimate the proportion p of Americans that approve of the job the Supreme Court is doing. a) Find the sample proportion f) that serves as a point estimate for p . Give your answer to two decimal places. f) = 0.49 b) Find the Standard Error of 13 Give your answer to four decimal places. Standard Error off) = \\:| V c) What is the Margin of Error for the 95% condence interval? Give your answer to three decimal places. MOE = d) Find the 95% condence interval for p . Give the endpoints to three decimal places. ( l |) e) Find a 99% confidence interval for p . Give the endpoints to three decimal places. C I ) A national survey conducted in 2011 among a simple random sample of 1,507 adults shows that 56% of Americans think the Civil War is still relevant to American politics and political life. Conduct a hypothesis test at signicance level a=0.05 to determine whether these data provide strong evidence that a majority of American adults think the Civil War is still relevant. a) Is the number 0.56 a parameter or a statistic? . Statistic 0 Parameter V b) We will conduct a onesided hypothesis test to evaluate the claim above. First state appropriate null and alternative hypotheses? O HO: p = 0.56; Ha: p 0.5 O HO: p = 0.56; Ha: p > 0.56 O HO: p = 0.5; Ha: p * 0.5 O HO: p = 0.56; Ha: p t 0.56 O HO: p = 0.5; Ha: p 0.5