Writing Null and Alternative Hypothesis

 

The mean number of years Americans work before retiring is 34.

•  

  H₀ : μ ≥ 34

  H_a : μ < 34

• H_a: μ = 34

  H₀ : μ ≠ 34

• H_a: μ ≠ 34

  H₀ : μ = 34

At most 60% of Cebuanos vote in presidential elections.

• H₀ : μ ≤ 0.6

  H₁ : μ > 0.6

• H₀ : μ = 0.6

  H₁: μ ≠ 0.6

• H₀ : μ ≠ 0.6

  H₁: μ = 0.6

• H₀ : μ ≥ 0.6

  H₁ : μ < 0.6

The mean allowance for TVMNHS students is at least 20 pesos per day.

•  

  H₀ : μ ≠ 20

  H₁: μ = 20

• H₀ : μ ≥ 20

  H₁ : μ < 20

• H₀ : μ = 20

  H₁: μ ≠ 20

• H₀ : μ ≤ 20

  H₁ : μ > 20

Twenty percent of SHS students get drunk each month.

•  

  H₀ : μ ≤ 0.20

  H₁ : μ > 0.20

• H₀ : μ = 0.20

  H₁: μ ≠ 0.20

• H₀ : μ ≠ 0.20

  H₁: μ = 0.20

• H₀ : μ ≥ 0.20

  H₁ : μ < 0.20

Fewer than 5% of students ride the motorcycle to school in Sibonga.

• H₀ : μ = 0.05

  H₁: μ ≠ 0.05

• H₀ : μ ≠ 0.05

  H₁: μ = 0.05

• H₀ : μ ≥ 0.05

  H₁ : μ < 0.05

• H₀ : μ = 0.05

  H₁: μ ≠ 0.05

The mean number of cars a person owns in her lifetime is not more than ten.

• H₀ : μ ≥ 10

  H₁ : μ < 10

•  

  H₀ : μ ≠ 10

  H₁: μ = 10

•  

  H₀ : μ = 10

  H₁: μ ≠ 10

• H₀ : μ ≤ 10

  H₁ : μ > 10

About half of Filipinos prefer to live away from cities, given the choice.

• H₀ : μ ≤ 0.50

  H₁ : μ > 0.50

• H₀ : μ = 0.50

  H₁: μ ≠ 0.50

• H₀ : μ ≠ 0.50

  H₁: μ = 0.50

• H₀ : μ ≥ 0.50

  H₁ : μ < 0.50

Teachers have a mean paid vacation each year of six weeks.

• H₀ : μ ≥ 6

  H₁ : μ < 6

•  

  H₀ : μ ≠ 6

  H₁: μ = 6

• H₀ : μ = 6

  H₁: μ ≠ 6

•  

  H₀ : μ ≤ 6

  H₁ : μ > 6

The chance of developing breast cancer is under 11% for women.

•  

  H₀ : μ ≤ 0.11

  H₁ : μ > 0.11

•  

  H₀ : μ = 0.11

  H₁: μ ≠ 0.11

• H₀ : μ ≠ 0.11

  H₁: μ = 0.11

• H₀ : μ ≥ 0.11

  H₁ : μ < 0.11

Travel time to TVMNHS is more than 30 minutes.

• H₀ : μ ≠ 30

  H₁: μ = 30

• H₀ : μ ≥ 30

  H₁ : μ < 30

• H₀ : μ = 30

  H₁: μ ≠ 30

• H₀ : μ ≤ 30

  H₁ : μ > 30