For a two-sample hypothesis test for differences in population parameters (1)and (2), which of the following is the correct form of an upper-tailed test? A)H₀: population parameter (1)- population parameter (2)0 vs.H₁: population parameter (1)- population parameter (2) 0 vs.H₁: population parameter (1)- population parameter (2)≤ 0 C)H₀: population parameter (1)- population parameter (2) 0

Question

For a two-sample hypothesis test for differences in population parameters (1)and (2), which of the following is the correct form of an upper-tailed test? A)H₀: population parameter (1)- population parameter (2)0 vs.H₁: population parameter (1)- population parameter (2)< 0 B)H₀: population parameter (1)- population parameter (2)> 0 vs.H₁: population parameter (1)- population parameter (2)≤ 0 C)H₀: population parameter (1)- population parameter (2)< 0 vs.H₁: population parameter (1)- population parameter (2)0 D)H₀: population parameter (1)- population parameter (2)≤ 0 vs.H₁: population parameter (1)- population parameter (2)> 0

Quizplus · Accepted Answer

An upper-tailed test is used when the alternative hypothesis is that the population parameter of the first population is greater than the population parameter of the second population. Therefore, the null hypothesis should state that the difference between the two population parameters is less than or equal to zero, and the alternative hypothesis should state that the difference between the two population parameters is greater than zero. The correct option is D, where the null hypothesis is H₀: population parameter (1)- population parameter (2)≤ 0 and the alternative hypothesis is H₁: population parameter (1)- population parameter (2)> 0.

For a Two-Sample Hypothesis Test for Differences in Population Parameters