Answered

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. 590 students must prefer coffee to tea. B. Less than 590 students must prefer coffee to tea. C. More than 590 students must prefer coffee to tea. D. The sample proportion must precisely represent the entire population’s choice. E. The population proportion is not necessarily equal to the sample proportion.



Answer :

Answer:C

Step-by-step explanation: The question is about the interpretation of a sample proportion in the context of a larger population. The sample proportion is the ratio of students in the sample who prefer coffee to tea, which is found to be 59%. Option A suggests that fewer than 590 of all students must prefer coffee to tea. This is not necessarily true because the sample proportion is an estimate of the population proportion, not a direct count. Option B suggests that the sample proportion must precisely represent the entire population's choice. This is also not necessarily true. While the sample proportion is an estimate of the population proportion, it is not guaranteed to be precise due to sampling variability.Option C suggests that the population proportion is not necessarily equal to the sample proportion. This is true. The sample proportion is an estimate of the population proportion, but it is not guaranteed to be the same due to sampling variability.Option D suggests that more than 590 of all students must prefer coffee to tea. This is not necessarily true. The sample proportion is an estimate of the population proportion, not a direct count.Therefore, the correct answer is C. The population proportion is not necessarily equal to the sample proportion.

Other Questions