Question

select the correct answer. a survey of randomly - selected students on a campus of 1,000 students asked who preferred coffee to tea. the sample proportion is found to be 59%. which statement is true? a. the population proportion is not necessarily equal to the sample proportion. b. more than 59% of all students must prefer coffee to tea. c. fewer than 59% of all students must prefer coffee to tea. d. the sample proportion must precisely represent the entire populations choice.

Explanation:

In sampling, the population proportion is not necessarily equal to the sample proportion. A sample is just a subset of the population, and there can be sampling error. We cannot assume that what is true for the sample is exactly true for the whole population. Also, we cannot make definite statements like "more than 50%" or "fewer than 50%" of all students based on just a sample result, and the sample proportion doesn't have to precisely represent the entire population's choice.

Answer:

A. The population proportion is not necessarily equal to the sample proportion.