The business college computing center wants to determine the proportion of business students who havepersonal computers (PCʹs) at home. If the proportion exceeds 30%, then the lab will scale back a proposedenlargement of its facilities. Suppose 300 business students were randomly sampled and 65 have PCʹs at home.What assumptions are necessary for this test to be satisfied?
A) No assumptions are necessary.
B) The sample variance equals the population variance.
C) The population has an approximately normal distribution.
D) The sample mean equals the population mean.

Question

Quizplus · Accepted Answer

No assumptions about the population distribution, sample variance, or mean equality are necessary for a proportion test. The test relies on the sample proportion to estimate the population proportion, and the central limit theorem ensures the sampling distribution of the proportion is approximately normal for large samples.

The Business College Computing Center Wants to Determine the Proportion