1. a. In a random sample of 325 residents of Pawnee, 206 had an unfavorable opinion of Eagleton. Find a 99 percent confidence interval for the proportion of all Pawnee residents who have an unfavorable opinion of Eagleton. Be sure to check conditions of an interpret your confidence interval.

b. Find the sample size necessary so that a 99 percent confidence interval for the proportion of all Pawnee residents who have an unfavorable opinion of Eagleton would have a margin of error no greater than 0.04.

c. Does part (a) provide evidence at the 0.01 level of significance that the proportion of all Pawnee residents who have an unfavorable opinion of Pawnee is different from 0.60? Please explain.

2. A seed company advertises that 80 percent of their seeds will germinate. A researcher selects 160 seeds at random and finds that 140 germinated. Is this evidence at the 0.05 level of significance that the proportion of seeds that germinate is different from 0.80? Show all seven steps