If there are 52 successful outcomes in a sample with a size of 80, what is the sample proportion?A.0.65B.0.72C.0.36D.0.52
Question
If there are 52 successful outcomes in a sample with a size of 80, what is the sample proportion?
A. 0.65
B. 0.72
C. 0.36
D. 0.52
Solution
Break Down the Problem
- To find the sample proportion, we need to determine the ratio of successful outcomes to the total sample size.
Relevant Concepts
- The formula for sample proportion is given by:
where:
- = Number of successful outcomes
- = Total sample size
Analysis and Detail
-
In this case:
- (successful outcomes)
- (total sample size)
Plugging these values into the formula:
Verify and Summarize
- Now, performing the calculation: This indicates that the sample proportion of successful outcomes is 0.65.
Final Answer
The sample proportion is , which corresponds to option A.
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