The business college computing center wants to determine the proportion of business students who have laptop computers. If the proportion exceeds 25%, then the lab will scale back a proposed enlargement of its facilities. Suppose 250 business students were randomly sampled and 65 have laptops. What assumptions are necessary for this test to be satisfied?
A) The sample size n satisfies both np0 ≥ 15 and nq0 ≥ 15.
B) The population has an approximately normal distribution.
C) The sample proportion is close to .5.
D) The sample size n satisfies n ≥ 30.

Question

Quizplus · Accepted Answer

The assumption necessary for this test is that the sample size n satisfies both np0 ≥ 15 and nq0 ≥ 15, where p0 is the hypothesized proportion and q0 = 1 - p0. This ensures that the sampling distribution of the sample proportion is approximately normal.

The Business College Computing Center Wants to Determine the Proportion