It is claimed that in a bushel of peaches, less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the null hypothesis?
A) $\pi$ $\neq$ 0.10
B) $\pi$ $\ge$ 0.10
C) $\pi$ $\le$ 0.10
D) $\pi$

Question

It is claimed that in a bushel of peaches, less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the null hypothesis?
A) $\pi$ $\neq$ 0.10
B) $\pi$ $\ge$ 0.10
C) $\pi$ $\le$ 0.10
D) $\pi$< 0.10

Quizplus · Accepted Answer

The null hypothesis is typically a statement of no effect or no difference. In this context, it would be that the proportion of defective peaches is at least 10%, i.e., $\pi \ge 0.10$.

It Is Claimed That in a Bushel of Peaches, Less π\piπ

It Is Claimed That in a Bushel of Peaches, Less $\pi$