Mike runs for the president of the student government and is interested to know whether the proportion of the student body in favor of him is significantly more than 50 percent. A random sample of 100 students was taken. Fifty-five of them favored Mike. At a 0.05 level of significance, it can be concluded that the proportion of the students in favor of Mike
A) is significantly greater than 50 percent because 55 percent of the sample favored him.
B) is not significantly greater than 50 percent.
C) is significantly greater than 55 percent.
D) is not significantly different from 55 percent.

Question

Quizplus · Accepted Answer

The sample proportion of 55% favoring Mike does not provide statistically significant evidence at the 0.05 level to conclude that more than 50% of the student body favors him. The difference between 50% and 55% in a sample of 100 students is not large enough to reject the null hypothesis that the true proportion is 50% or less.

Mike Runs for the President of the Student Government and Is