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question 12 of 25 if there are 52 successful outcomes in a sample with …

Question

question 12 of 25
if there are 52 successful outcomes in a sample with a size of 80, what is the sample proportion?
a. 0.36
b. 0.52
c. 0.72
d. 0.65

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 successful outcomes and $n$ is the sample size.

Step2: Substitute the given values into the formula

Given $x = 52$ and $n=80$, we have $\hat{p}=\frac{52}{80}$.

Step3: Simplify the fraction

$\frac{52}{80}=\frac{52\div4}{80\div4}=\frac{13}{20}=0.65$

Answer:

D. 0.65