1) The mayor of a small city has suggested that the state locate a new prison there, arguing that the construction project and resulting jobs will be good for the economy. A total of 183 residents show up for a public hearing on the proposal, and a show of hands nds only 31 in favor of the prison project. Construct a 94% condence interval for the true proportion of residents of that city who favor the prison project, and write a sentence that interprets the interval. What can the city council conclude about public support for the mayor' s initiative? 2) The ways that we communicate have been dramatically affected by the use of answering machines, fax machines, voice mail, and e-mail. Suppose a sociologist wants to determine the current percentage of US. households currently using e-mail. a) Given the fact that in 1997, 16.9% of US. households used e-mail, how many households must be surveyed in order to be 95% confident that the current sample percentage is in error by no more than four percentage points? b) Answer the same question if we have no prior 1997 information. 3) When 14 different second-year medical students at Bellevue Hospital in NYC measured the blood pressure of the same person, they obtained the results listed below. Construct a 95% condence interval estimate of the population standard deviation and write a sentence that interprets this interval. |138|1301135114011201125|120| 1'1\" 1'\") 14A. 1A.? 1A.\" nn 1'.\