Chapter 8.2, Problem 49E

To determine

The correct statement for the poll that (a) the poll used a method that gets an answer within 3% of the truth about the population 95% of the time, (b) the percent of all adults who expect an inheritance is between 25% and 31%, (c) if Gallup takes another poll on the issue, the result of the second poll will lies between 25% and 31%, (d) there’s a 95% chance that the percent of all adult who expect the inheritance between 25% and 31%, (e) Gallup can be 95% confidence that between 25% and 31% of the sample expect the inheritance.

Answer to Problem 49E

The correct statement is (a).

Explanation of Solution

(a) The method for the confidence level indicates that the true population proportion is within 3% of the sample mean. Thus, the statement is correct.

(b) Only 95% confidence levelcontain the population proportion is between 25% and 31%. Thus, the statement is incorrect.

(c) Different sample will result a different confidence interval. Thus, the statement is incorrect.

(d) The probability is either 0 or 1. Since, 95% confidence level contain the population proportion is between 25% and 31%.Thus, the statement is incorrect.

(e) between 25% and 31% confidence level of the sample is 100% that expect an inheritance.Thus, the statement is incorrect.

Hence, the correct statement is (a).