Question

question 1 1 pts
a committee seeks student input about the length of autumn break. should this break be extended to be one - week long? when a random sample of 428 students are asked this question, 327 of them say \yes.\ this means that \\( \hat { p } \\) is equal to approximately__________.
please enter your answer in the textbox below. note that when you calculate your answer, you must round the answer to exactly three decimal places in order to earn credit.
as an example, if you calculated the answer to be 0.5930214, you would enter your answer as 0.593.

Explanation:

Step1: Recall the formula for sample proportion

The formula for sample proportion $\hat{p}$ is $\hat{p}=\frac{x}{n}$, where $x$ is the number of successes (in this case, the number of students who said "yes") and $n$ is the sample size.

Step2: Substitute the values into the formula

Here, $x = 327$ and $n=428$. So, $\hat{p}=\frac{327}{428}$.

Step3: Calculate the value

$\frac{327}{428}\approx0.764$ (rounded to three decimal places).

Answer:

$0.764$