Chapter 9: Hypothesis Testing

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

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

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 weight 18.4 lbs. What is the null and alternate hypothesis? 

• H₀ = 18.4
  H_a = 18.4
• H₀ = 18.4
  H_a > 18.4
• H₀ = 18.4
  H_a < 18.4
• H₀ = 18.4
  H_a ≠ 18.4

What is the critical value for a left-tailed test with α = 0.05 and n ≥ 30. 

• z₀ = -1.645
• z₀ = -2.33
• z₀ = -1.96
• z₀ = 2.58

What is the critical value for a right-tailed test with α = 0.01 and n ≥ 30. 

• z₀ = -1.645
• z₀ = 2.33
• z₀ = -1.96
• z₀ = 2.58

Given the following information, find the z-value for the sample. (Hint: z = (x-bar - μ)/(σ/√n))
x-bar = 68, μ = 71, σ = 7.5, n = 36

• 2.40
• 3.00
• 2.78
• 6.90

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

• Reject H₀
• Do no reject H₀

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

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

• Reject H₀
• Do not reject H₀

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.1

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

• Reject H₀
• Do not reject H₀

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

CCSS.HSS.IC.B.5

CCSS.HSS.ID.A.4

CCSS.HSS.MD.B.7