In response to budget cuts, county officials are interested in learning about the proportion of county residents who favor closure of a county park rather than closure of a county library. In a random sample of 500 county residents, 198 favored closure of a county park. For each of the three statements below, indicate if the statement is correct or incorrect. If the statement is incorrect, explain what makes it incorrect. Statement 1: It is unlikely that the estimate ˆ p = 0.396 differs from the value of the actual population proportion by more than 0.0429. Statement 2: The estimate ˆ p = 0.396 will never differ from the value of the actual population proportion by more than 0.0429. Statement 3: It is unlikely that the estimate ˆ p = 0.396 differs from the value of the actual population proportion by more than 0.0219.