Hypothesis Testing

A car manufacturer advertises that its new subcompact models get 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis if we wanted to check if the car's mpg is overrated? 

• H₀ = 47
  H_a = 47
• H₀ = 47
  H_a < 47
• H₀ = 47
  H_a > 47
• H₀ = 47
  H_a ≠ 47

A mayor is concerned about the percentage of city residents who express disapproval of his job performance.  His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%.  They will use a follow up poll to access effectiveness.  What are the correct null and alternative hypotheses?

• Ho: μ=21
  Ha: μ<21
• Ho: p=.20
  Ha: p<.20
• Ho: p< .21
  Ha: p= .21
• Ho: p= .21
  Ha: p< .21

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

Which of the following shows a right-tailed test?

• H₁: µ < 15
• H₀: µ < 15
• H₁: µ > 15
• H₀: µ > 15

Identify the correct null hypothesis:

• H₀: p = 0.50
• H₀: µ = 100
• H₀: p = 0.48
• H₀: µ = 96

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

Which of the following represents the appropriate null & alternative hypotheses?
The mean height of women is greater than 64"

• H₀: μ > 64"
  Hₐ: μ ≠ 64"
• H₀: μ = 64"
  Hₐ: μ > 64"
• H₀: p > 64"
  Hₐ: p ≠ 64"
• H₀: p = 64"
  Hₐ: p > 64"

Tags

CCSS.HSS.IC.B.4

What is the only option for the null hypothesis? 

• H₀ = k
• H₀ > k
• H₀ < k
• H₀ ≠ k

Given the following scenario, state whether we would fail to reject or reject the null. 

• Reject H₀
• Do not reject H₀

Tags

CCSS.HSS.ID.A.4

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

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

Given the following scenario, state whether we would fail to reject or reject the null. 

• Reject H₀
• Do not reject H₀

Tags

CCSS.HSS.ID.A.4

Given the following scenario, state whether we would fail to reject or reject the null. 

• Reject H₀
• Do no reject H₀

Tags

CCSS.HSS.ID.A.4