Question

when 455 college students were surveyed, 120 said they own their car. find a point estimate for p, the population proportion of students who own their cars.

o a. 0.358
o b. 0.264
o c. 0.209
o d. 0.736

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 students who own a car) and \(n\) is the sample size.

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

Given that \(x = 120\) (students who own a car) and \(n=455\) (total number of surveyed students).

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

Substitute the values into the formula: \(\hat{p}=\frac{120}{455}\approx0.264\)

Answer:

B. \(0.264\)