Null and Alternative Hypothesis Quiz

The weight of the average grade 11 student's bag (with books in it) is 18.4 lbs. The school principal thinks that the bag does not weigh 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

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, H_a : μ ≠ 19

• H_o : μ = 19, H_a : μ ≠ 19

• H_o : μ = 19, H_a : μ ≠ 17

• H_o : μ = 17, H_a : μ ≠ 17

This symbol denotes the null hypothesis.

• H₀

• H_a

Tags

CCSS.HSS.IC.B.3

This symbol denotes the alternative hypothesis.

• H₀

• H₁

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

The mean height of women is greater than 64"

• H₀: μ > 64" (claim)

  Hₐ: μ ≠ 64"

• H₀: μ ≤ 64"

  Hₐ: μ > 64" (claim)

• H₀: p > 64" (claim)

  Hₐ: p ≠ 64"

• H₀: p ≥ 64"

  Hₐ: p < 64" (claim)

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

• H_a = k

• H_a > k

• H_a < k

• H_a ≠ k

In a hypothesis test, the alternative hypothesis is always a statement of equality. 

• True

• False

The null and alternative hypothesis can be the same.

• Yes

• No

• Maybe

• All the above

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

It is an assumption or conjecture about a population parameter that may or may not be true.

 

Tags

CCSS.HSS.IC.B.3