Question

a survey of 400 non - fatal accidents showed that 113 involved the use of a cell phone. find a point estimate for p, the population proportion of non - fatal accidents that involved the use of a cell phone.

a. 0.283
b. 0.718
c. 0.22
d. 0.394

Explanation:

Step1: Recall the formula for point - estimate of population proportion

The formula for the point - estimate of the population proportion \(p\) is \(\hat{p}=\frac{x}{n}\), where \(x\) is the number of successes (in this case, the number of non - fatal accidents involving cell phone use) and \(n\) is the sample size.
Here, \(x = 113\) and \(n=400\).

Step2: Calculate the point - estimate

Substitute the values into the formula: \(\hat{p}=\frac{113}{400}\).

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Answer:

A. 0.283