SOLUTION: In a Harris​ poll, adults were asked if they are in favor of abolishing the penny. Among the​ responses, 1222 answered​ "no," 458 answered​ "yes," and 366
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Question 1115731: In a Harris poll, adults were asked if they are in favor of abolishing the penny. Among the responses, 1222 answered "no," 458 answered "yes," and 366 had no opinion. What is the sample proportion of yes responses, and what notation is used to represent it?
Choose the correct answer below.
A. ModifyingAbove p with caretequals 0.224. The symbol ModifyingAbove p with caret is used to represent a sample proportion.
B. pequals0.224. The symbol p is used to represent a sample proportion.
C. ModifyingAbove p with caretequals 0.273. The symbol ModifyingAbove p with caret is used to represent a sample proportion.
D. p equals 0.273. The symbol p is used to represent a sample proportion.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The letter without any special markings over it represents the population proportion
While the notation 
is known as "p-hat", or as your book/teacher describes "p with caret". The caret symbol is ^ which rests on top of the letter p, as if p was wearing the caret as a hat.
The symbol p-hat is used for sample proportions.
The formula to compute p-hat is
where
x = number of successes (in this case, we want the number of "yes" responses)
n = sample size
In this case,
x = 458 "yes" responses
n = 2046 because we add up the values 1222+458+366 for "no", "yes", and "no opinion" respectively
So the value of p-hat is approximately...
Making the final answer to be choice A
Choice B is not the answer because we use p-hat instead of p.
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