A survey of an urban university (population of 25,450) showed that 870 of 1,100 students sampled supported a fee increase to fund improvements to the student recreation center. If university officials say that at least 70% of the voting student population support the fee increase, what conclusion can be drawn based on a 95% level of confidence?
A) 70% is not in the interval, need to take another sample.
B) 70% is not in the interval, so assume it will not be supported.
C) 70% is below the interval, so assume it will be supported.
D) Since this was not based on population, cannot make conclusion.
E) None of the choices are correct

Question

Quizplus · Accepted Answer

The sample proportion is 870/1100 = 0.7909. A 95% confidence interval for the proportion can be calculated, and if 70% is below this interval, it suggests that more than 70% of the population supports the fee increase.

A Survey of an Urban University (Population of 25,450) Showed