Question

Provide an appropriate response. when 390 junior college students were surveyed,115 said that they have previously owned a motorcycle. find a point estimate for p, the population proportion of students who have previously owned a motorcycle.

a. 0.705
b. 0.295
c. 0.228
d. 0.418

Answer 1

The point estimate for the population proportion of junior college students who have previously owned a motorcycle is 0.295. This is found by dividing the number of students who have owned a motorcycle (115) by the total number surveyed (390).

Step-by-step explanation:

To find a point estimate for p, the population proportion of junior college students who have previously owned a motorcycle, we use the formula p' = X/n, where X is the number of successes (students who have owned a motorcycle) in the sample, and n is the total number of students surveyed. In this case, X is 115 and n is 390, so the point estimate is p' = 115/390.

Calculating this gives us: p' = 115 / 390 = 0.29487...

When rounded to three decimal places, the point estimate for the population proportion, p, is 0.295. Therefore, the correct answer is b. 0.295.