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 0 C)p₁ - p₂ = 0 D)$\mu$₁ - $\mu$₂ = 0 E)s₁ - s₂ = 0

Question

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 > 0 C)p₁ - p₂ = 0 D)$\mu$₁ - $\mu$₂ = 0 E)s₁ - s₂ = 0

Quizplus · Accepted Answer

The null hypothesis for Roberto's hypothesis test is that there is no difference in the proportion of Palmetto Dunes and Ocean Greens residents who play golf. This can be written as H0: p1 = p2, where p1 is the population proportion of Palmetto Dunes residents who play golf and p2 is the population proportion of Ocean Greens residents who play golf. To test this hypothesis, Roberto can use a two-sample test of proportions and calculate the difference in sample proportions, which can be standardized into a test statistic with a standard error. Therefore, the correct null hypothesis is D: μ1 - μ2 = 0, where μ1 is the population proportion of Palmetto Dunes residents who play golf and μ2 is the population proportion of Ocean Greens residents who play golf.

Golf Course Designer Roberto Langabeer Is Evaluating Two Sites,Palmetto Dunes σ\sigmaσ

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