Problem

Determine whether the statement is true or false.
To estimate the value of $p$, the population proportion of successes, use the point estimate $x$.
A. False, to estimate the vallie of $p$, use the point estimate $\hat{p}=\frac{n}{\hat{q}}$.
B. False, to estimate the value of $p$, use the point estimate $\hat{p}=\frac{x}{n}$.
C. False, to estimate the value of $p$, use the point estimate $\hat{p}=\frac{n}{x}$.
D. True, to estimate the value of $p$, use the point estimate $\hat{p}=x$

Answer

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Answer

Final Answer: \(\boxed{\text{B. False, to estimate the value of } p, \text{ use the point estimate } \hat{p}=\frac{x}{n}}\)

Steps

Step 1 :Determine whether the statement is true or false: To estimate the value of $p$, the population proportion of successes, use the point estimate $x$.

Step 2 :In statistics, the point estimate for the population proportion of successes, denoted as $p$, is given by $\hat{p}=\frac{x}{n}$, where $x$ is the number of successes and $n$ is the total number of trials.

Step 3 :Therefore, the statement 'To estimate the value of $p$, the population proportion of successes, use the point estimate $x$' is false. The correct point estimate should be $\hat{p}=\frac{x}{n}$.

Step 4 :Final Answer: \(\boxed{\text{B. False, to estimate the value of } p, \text{ use the point estimate } \hat{p}=\frac{x}{n}}\)

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