Lucy Baker is analyzing demographic characteristics of two television programs, Lost (population 1)and Heroes (population 2).Previous studies indicate no difference in the ages of the two audiences.(The mean age of each audience is the same.)Lucy plans to test this hypothesis using a random sample of 100 from each audience.Her null hypothesis is ___. A)$\mu$₁ - $\mu$₂ $\neq$ 0 B)$\mu$₁ - $\mu$₂ 0 C)$\mu$₁ - $\mu$₂ = 0 D)$\mu$₁ - $\mu$₂

Question

Lucy Baker is analyzing demographic characteristics of two television programs, Lost (population 1)and Heroes (population 2).Previous studies indicate no difference in the ages of the two audiences.(The mean age of each audience is the same.)Lucy plans to test this hypothesis using a random sample of 100 from each audience.Her null hypothesis is ___. A)$\mu$₁ - $\mu$₂ $\neq$ 0 B)$\mu$₁ - $\mu$₂ > 0 C)$\mu$₁ - $\mu$₂ = 0 D)$\mu$₁ - $\mu$₂ < 0 E)$\mu$₁ - $\mu$₂ < 1

Quizplus · Accepted Answer

The null hypothesis in this case is that there is no difference in the ages of the two audiences. This can be represented mathematically as H0: μ1 = μ2, where μ1 is the mean age of the Lost audience and μ2 is the mean age of the Heroes audience. Option C represents this hypothesis in the correct format. Option A is incorrect because it includes unnecessary terms and symbols that don't apply to this scenario. Option B is incorrect because it suggests a directional hypothesis (that the mean age of the Lost audience is greater than the mean age of the Heroes audience) which is not supported by previous studies. Option D is incorrect because it suggests the alternative hypothesis is that the mean age of the Lost audience is less than the mean age of the Heroes audience, which is again not supported by previous studies. Finally, option E is incorrect because it suggests a margin of error, which is not relevant for hypothesis testing.

Lucy Baker Is Analyzing Demographic Characteristics of Two Television Programs μ\muμ

Lucy Baker Is Analyzing Demographic Characteristics of Two Television Programs $\mu$