Questions: After a survey was conducted about a new immigration law in Georgia it is stated, "46% of the 132 Georgia farmers, agricultural processors, and farm service businesses who responded said they were experiencing some degree of labor shortage" (Al Hackle, "Groups seek reform, not repeal," Statesboro Herald, June 23, 2011). In this report, the is the set of all farmers, agricultural processors, and farm service businesses in Georgia.
Transcript text: After a survey was conducted about a new immigration law in Georgia it is stated, "46\% of the 132 Georgia farmers, agricultural processors, and farm service businesses who responded said they were experiencing some degree of labor shortage" (Al Hackle, "Groups seek reform, not repeal," Statesboro Herald, June 23, 2011). In this report, the $\qquad$ is the set of all farmers, agricultural processors, and farm service businesses in Georgia. $\square$
Solution
Solution Steps
To solve this problem, we need to identify the set being referred to in the report. The set mentioned is the entire population of farmers, agricultural processors, and farm service businesses in Georgia.
Step 1: Identify the Set
The set referred to in the report is the entire population of farmers, agricultural processors, and farm service businesses in Georgia.
Step 2: Define the Population Set
The population set is defined as:
\[ \text{Population Set} = \text{all farmers, agricultural processors, and farm service businesses in Georgia} \]
Step 3: Calculate the Percentage
According to the survey, \(46\%\) of the \(132\) respondents reported experiencing some degree of labor shortage.
Step 4: Calculate the Number of Respondents Experiencing Labor Shortage
To find the number of respondents experiencing labor shortage, we use the formula:
\[ \text{Number of Respondents} = \frac{46}{100} \times 132 \]
Since the number of respondents must be an integer, we round \(60.72\) to the nearest whole number, which is \(61\).
Final Answer
The set referred to in the report is the set of all farmers, agricultural processors, and farm service businesses in Georgia. The number of respondents experiencing some degree of labor shortage is:
\[ \boxed{61} \]