Hypothesis Testing

This symbol denotes the null hypothesis

• Null hypothesis

• Alternative Hypothesis

• H₀

• H_a

Tags

CCSS.HSS.IC.B.3

This symbol denotes the alternative hypothesis

• Null hypothesis

• Alternative hypothesis

• H₀

• H_a

Tags

CCSS.HSS.IC.B.3

What is the only option for the null hypothesis? 

• H₀ = k
• H₀ > k
• H₀ < k
• H₀ ≠ k

Which of the following is not an option for an alternate hypothesis? 

• H_a = k
• H_a > k
• H_a < k
• H_a ≠ k

The null and alternative hypothesis can be the same.

• Yes

• No

• Maybe

• All the above

Tags

CCSS.6.SP.A.1

Use the notation to state the alternative hypothesis and null hypothesis: "Less than 4% of high school students take Statistics."

• H_o : p = 0.04

  H_A : p > 0.04

• H_o : p = 0.04

  H_A : p < 0.04

• H_o : p = 0.04

  H_A : p ≠ 0.04

• H_o : p = 0.04

  H_A : p ≤ 0.04

5% of trucks of a certain model have needed new engines after being driven between 0 and 100 miles.  The manufacturer hopes that the redesign of one of the engine's components has solved this problem.  Write the null and alternative hypotheses for this situation.

• Ho:  p< 0.05
  Ha:  p = 0.05
• Ho:  p = 0.05
  Ha:  p > 0.05
• Ho:  p = 0.05
  Ha:  p < 0.05
• Ho:  p > 0.05
  Ha:  p = 0.05

Which of the following represents the appropriate null & alternative hypotheses?

The mean height of women is greater than 64"

• H₀: μ > 64"

  H_A: μ = 64"

• H₀: μ = 64"

  H_A: μ > 64"

• H₀: p = 64"

  H_A: p ≠ 64"

• H₀: p = 64"

  H_A: p > 64"

Tags

CCSS.8.SP.A.1

The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weigh 18.4 lbs. What is the null and alternate hypothesis?

• H₀: μ = 18.4

  H₁: μ = 18.4

• H₀: μ = 18.4

  H₁: μ > 18.4

• H₀: μ = 18.4

  H₁: μ < 18.4

• H₀: μ = 18.4

  H₁: μ ≠ 18.4

At the Chrysler manufacturing plant, there is a part that is supposed to weigh precisely 19 pounds. The engineers take a sample of parts and want to know if they meet the weight specifications. What are our null and alternative hypotheses?

• H_o : μ = 17

  H₁ : μ ≠ 19

• H_o : μ = 19

  H₁ : μ ≠ 19

• H_o : μ = 19

  H₁ : μ ≠ 17

• H_o : μ = 17

  H₁ : μ ≠ 17