Question

2. A Pew Research Council Poll recently showed that 23 percent of Americans are religiously unaffiliated. The poll contacted 35,071 adults by telephone. The margin of sampling error was plus or minus 0.6 (six-tenths) of a percentage point. Assume a 95 percent confidence level and no bias. The population for this sample survey is:
A) the 23 percent who said that they were religiously unaffiliated.
B) all households in the United States.
C) all adult residents of the United States.
D) the 35,071 people who answered the question.

Answer 1

Answer:

C) all adult residents of the United States.

True, we are interested in all the adults resident of the United States and that represent the population of interest.

Step-by-step explanation:

We know that we have a sample of 35071 adults and that represent the size of the sample selected using the mechanism of telephone.

On the sample selected we have a proportion of adults that are religiously affiliated and the sample proportion for this case is:

$\hat p = 0.23$

The margin of error for this case was 0.6 six tenths of a percentage point.

We assume that we don't have bias and the confidence level for this case was 95%.

For this case the population of interest represent all the Americans that are religiously affiliated. If we analyze one by one the options we have this

A) the 23 percent who said that they were religiously unaffiliated.

False that represent the sample selected

B) all households in the United States.

False the population are represented by the adults and not by the households

C) all adult residents of the United States.

True, we are interested in all the adults resident of the United States and that represent the population of interest.

D) the 35,071 people who answered the question.

False that represent the sample size.