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

19-05-2024
Mathematics

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 :

Other Questions

the length of a rectangle is 50 feet less than its width. If the perimeter of the field is 840 feet, find the length of the field.

The length of a rectangle is 5 greater than 3 times the width. The area of the rectangle is 22cm. Find the length and the width. (SHOW STEPS)

Why can you only change 1 variable in an experiment??? #Science

What is the slope of the line y= 7x - 8?

true or false: the constitution outlines right if state governments true or false: the constitution had to be re written after the civil war to include emancipa

Which expression represents y⁴ - 36 in simplest factored form? A. ( y² + 4)( y² - 9) B. ( y² + 4)( y - 3)( y + 3) C. ( y² + 6)( y² - 6) D. ( y⁴ - 36)( y +1)

which has more volume a cube of sides measuring 4 units each or a sphere with a radius of 3 units

A combination of variables, numbers and at least one operation, but no equal sign

Unlike Britain, France, and Russia, the United StatesA. controlled large areas of China.B. wanted to keep trade in China open.C. had no interest in trade with C

Which group of organic compounds contains fatty acids? A. carbohydrates B. lipids C. nucleic acids D. proteins

marioisable93 marioisable93 · Answer 1 · 2024-05-19T02:41:46-04:00

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.