Question

On july 7, 2010, the gallup organization telephoned a random sample of 1,007 adults in all 50 u.s. states and the district of columbia. they found that 38% strongly opposed the federal government suing arizona over their new immigration law. which is true?

i. the population of interest is all u.s. adults.
ii. 38% is a statistic and not the actual percentage of all u.s. adults who strongly oppose the lawsuit.
iii. this sampling design should provide a reasonably accurate estimate of the actual percentage of all u.s. adults who strongly oppose this lawsuit.
a) ii only
b) i and ii only
c) i only
d) i, ii, and iii
e) iii only

Answer 1

All three statements are true: the population of interest is all U.S. adults (I), 38% is a statistic derived from the sample (II), and the sampling design should provide a reasonably accurate estimate of the actual opinion (III).

Step-by-step explanation:

The statement you're examining involves the interpretation of a poll conducted by the Gallup organization to understand public opinion regarding the federal government suing Arizona over their new immigration law. Here is the breakdown:

• The population of interest is indeed all U.S. adults, because the poll aims to reflect the views of the entire adult population in the country.
• The figure of 38% represents a statistic, which is derived from the sample data and not the actual percentage of all U.S. adults who strongly oppose the lawsuit.
• Assuming the polling technique was implemented correctly, including a random sample, this sampling design should provide a reasonably accurate estimate of the true percentage of U.S. adults who strongly oppose the Arizona immigration law lawsuit.

Therefore, all statements I, II, and III are true.