Respuesta :
Answer:
C.^p=0.229The symbol p with caret<="">p is used to represent a sample proportion.
Step-by-step explanation:
Data given
1229 people answered "no"
484 people answered "yes"
400 people had no opinion
The grand total is 1229+484+400=2113 people
Let p= true proportion of yes responses for the population
[tex]\hat p [/tex] the proportion of yes estimated in th sample
Solution to the problem
The estimate population proportions is givn by the following formula:
[tex]\hat p = \frac{X}{n}[/tex]
Where X represent the people with a characteristic specified and n the sample size. For our case we have this:
[tex]\hat p =\frac{484}{2113}=0.229[/tex]
If we analyze one by one the possible options we have this:
A.p=0.229 The symbol p is used to represent a sample proportion
False the estimated proportion [tex]\hat p[/tex] is not equal to the population proportion p
B.^p=0.283 The symbol ^p is used to represent a sample proportion.
False, the estimated proportion of yes was 0.229 not 0.283
C.^p=0.229 The symbol p with caret<="">p is used to represent a sample proportion.
True, the estimated proportion of yes is 0.229 and the correct way to express the estimation is [tex]\hat p[/tex]
D.p=0.283 The symbol p is used to represent a sample proportion.
False, the estimated proportion is 0.229 and not 0.283.
