Question

a survey of 600 non - fatal accidents showed that 196 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. 0.327
b. 0.485
c. 0.246
d. 0.673

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, \(x = 196\) and \(n=600\).

Step2: Calculate \(\hat{p}\)

Substitute the values into the formula: \(\hat{p}=\frac{196}{600}\approx0.327\)

Answer:

A. 0.327