In a 2008 Scripps Howard News/ Ohio Univer­sity survey of 1003 randomly selected adults, 56% said that it is either very or somewhat likely that there is intelligent life on other planets (www.scrippsnews.com/node/34758). For each part, use the desired confidence level to find a confidence interval for the proportion of all adults in 2008 who thought it was either very or somewhat likely that there is intelligent life on other planets.
a. 90%
b. 95%
c. 99%
d. Using the 99% confidence interval for part (c), would you conclude with 99% confidence that a majority of adults (more than 50%) in 2008 thought it was either very or somewhat likely that there is intelligent life on other planets? Explain.