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.

Question

Mathematics

Emma

11 December, 10:38

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.

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Answers (1)

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Douglas Dudley · Answer 1

The answer is d) the sample proportion must precisely represent the entire population’s choice.

The sample proportion is not necessarily the exact number taken from the percentage. Sample proportion is usually smaller in number compared with the total population. But, this should represent the total population using the variables there is in the total population.