The average household size in the US in 2012 was 2.55 persons (Source: US Census Bureau).In order to test for a change in the average size of a household, the correct null and alternative hypothesis would be: A) H₀: µ 2.55 persons (The average household size is greater than 2.5 persons.) H_a: µ ≤ 2.55 persons (The average household size is no more than 2.55 persons.) B) H₀: µ = 2.55 persons (The average household size is 2.55 persons.) H_a: µ ≠ 2.55 persons (The average household size is not 2.55 persons.) C) H₀: µ ≠ 2.55 persons (The average household size is not 2.55 persons.) H_a: µ = 2.55 persons (The average household size is 2.55 persons.) D) H₀: µ ≤ 2.55 persons (The average household size is no more than 2.55 persons.) H_a: µ 2.55 persons (The average household size is greater than 2.55 persons.) E) H₀: µ 2.55 persons (The average household size is greater than 2.55 persons.)

Question

The average household size in the US in 2012 was 2.55 persons (Source: US Census Bureau).In order to test for a change in the average size of a household, the correct null and alternative hypothesis would be: A) H₀: µ > 2.55 persons (The average household size is greater than 2.5 persons.) H_a: µ ≤ 2.55 persons (The average household size is no more than 2.55 persons.) B) H₀: µ = 2.55 persons (The average household size is 2.55 persons.) H_a: µ ≠ 2.55 persons (The average household size is not 2.55 persons.) C) H₀: µ ≠ 2.55 persons (The average household size is not 2.55 persons.) H_a: µ = 2.55 persons (The average household size is 2.55 persons.) D) H₀: µ ≤ 2.55 persons (The average household size is no more than 2.55 persons.) H_a: µ > 2.55 persons (The average household size is greater than 2.55 persons.) E) H₀: µ < 2.55 persons (The average household size is less than 2.55 persons.) H_a: µ > 2.55 persons (The average household size is greater than 2.55 persons.)

Quizplus · Accepted Answer

The correct null hypothesis (H0) should state that there is no change, meaning the average household size is still 2.55 persons. The alternative hypothesis (Ha) should state that there is a change, meaning the average household size is not 2.55 persons. This is best represented by choice B.

The Average Household Size in the US in 2012 Was