Question

when 380 college students were surveyed, 160 said they own their car. find a point estimate for p, the population proportion of students who own their cars. a. 0.421 b. 0.727 c. 0.579 d. 0.296

Explanation:

Step1: Recall the formula for point - estimate of proportion

The formula for the point - estimate of a population proportion \(p\) is \(\hat{p}=\frac{x}{n}\), where \(x\) is the number of successes (in this case, the number of students who own a car) and \(n\) is the sample size.
Here, \(x = 160\) and \(n=380\).

Step2: Calculate the point - estimate

Substitute the values into the formula: \(\hat{p}=\frac{160}{380}\).

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Answer:

A. \(0.421\)