Golf Course Designer Roberto Langabeer Is Evaluating Two Sites, Palmetto $\sigma$

Multiple Choice

Golf course designer Roberto Langabeer is evaluating two sites, Palmetto Dunes and Ocean Greens, for his next golf course.He wants to prove that Palmetto Dunes residents (population 1) play golf more often than Ocean Greens residents (population 2) .Roberto plans to test this hypothesis using a random sample of 81 individuals from each suburb.His null hypothesis is __________.

A) $\sigma$ ₁² < $\sigma$ ₂²
B) $\mu$ ₁- $\mu$ ₂ $\gt$ 0
C) p₁ - p₂ = 0
D) $\mu$ ₁ - $\mu$ _{2 ≤} 0 I thought it less confusingfor students to be consistent with the text.I have seen other textbooks also use only the = for the null hypothesis as that is the critical element.
The less than or equal to is technically correct.The book shows it as an = sign, which is not correct when describing the null hypothesis for this one-tailed test.
E) s₁ - s₂ = 0