Solve the problem. Round to four decimal places.
-We believe that 86% of the population of all Business Statistics students consider statistics to be an exciting subject. Suppose we randomly and independently selected 32 students from the
Population and observed fewer than five in our sample who consider statistics to be an exciting
Subject. Make an inference about the belief that 86% of the students consider statistics to be an
Exciting subject.
A)The 86% number is exactly right.
B)The 86% number is too low. The real percentage is higher than 86%.
C)The 86% number is too high. The real percentage is lower than 86%.
D)It is impossible to make any inferences about the 86% number based on this information.

Question

Quizplus · Accepted Answer

Finding fewer than five students out of 32 who consider statistics exciting, when it's believed that 86% do, suggests the actual percentage is significantly lower than 86%. This deviation from the expected number (approximately 27.52 students, given 86% of 32) indicates the initial belief may be too high.

Solve the Problem. Round to Four Decimal Places