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) About Me  (Show Source):
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The letter p 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.