It is claimed that in a bushel of peaches,less than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the null hypothesis? A)H₀: π ≠ 0.10 B)H₀: π ≥ 0.10 C)H₀: π ≤ 0.10 D)H₀: π

Question

It is claimed that in a bushel of peaches,less than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the null hypothesis? A)H₀: π ≠ 0.10 B)H₀: π ≥ 0.10 C)H₀: π ≤ 0.10 D)H₀: π < 0.10

Quizplus · Accepted Answer

The null hypothesis is always the opposite of what is being claimed or tested. Here, the claim is that less than 10% (0.10) are defective, so the null hypothesis would be that the proportion of defective peaches is equal to or greater than 10% (0.10). Therefore, choice B is the correct option, which states the null hypothesis as H₀: π ≥ 0.10.

It Is Claimed That in a Bushel of Peaches,less Than