Respuesta :
Answer:
C.ModifyingAbove p with caret p=0.224. The symbol ModifyingAbove p with caret p is used to represent a sample proportion.
Step-by-step explanation:
Data given and notation
X= 459 represent the number of people that answer yes
1241 people answer no and 352 had no opinion
n= 459+1241+352=2052 represent the sampplpe size selected
Solution to the problem
What is the sample proportion of yes responses, and what notation is used to represent it?
If we want to find the sample proportion of yes we need to apply the following formula:
[tex]\hat p =\frac{X}{n}[/tex]
Where X represent the number of people with the characteristic desired in the sample and n the sample size selected.
For this case we have:
[tex]\hat p =\frac{X}{n}=\frac{459}{2052}=0.224[/tex]
Let's analyze the possible options given:
A.ModifyingAbove p with caret p=0.270. The symbol ModifyingAbove p with caret p is used to represent a sample proportion.
False the sample proportion is 0.224 not 0.270
B.p=0.224. The symbol p is used to represent a sample proportion.
The sample proportion is 0.224 not the population proportion for this case this statement is False.
C.ModifyingAbove p with caret p=0.224. The symbol ModifyingAbove p with caret p is used to represent a sample proportion.
Correct the [tex]\hat p= 0.224[/tex] represent th sample proportion and it's the correct way to express it.
D.p=0.270. The symbol p is used to represent a sample proportion.
False the sample proportion is 0.224 not 0.270
