Question

a survey of 400 non - fatal accidents showed that 117 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. 0.708
b. 0.293
c. 0.413
d. 0.226

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 accidents involving cell - phone use) and \(n\) is the sample size.

Step2: Identify the values of \(x\) and \(n\)

Given \(x = 117\) (number of non - fatal accidents involving cell phone use) and \(n=400\) (total number of non - fatal accidents surveyed).

Step3: Calculate \(\hat{p}\)

Substitute the values into the formula: \(\hat{p}=\frac{117}{400}\).

$$
LATEXBLOCK0
$$

Answer:

B. \(0.293\)