Null and Alternative Hypotheses

This symbol denotes the null hypothesis

• Null hypothesis

• Alternative Hypothesis

• H₀

• H_a

This symbol denotes the alternative hypothesis

• Null hypothesis

• Alternative hypothesis

• H₀

• H_a

Bedazzled Motor Company claims that its new sedan, the Glitteratti , will average better than 26 miles per gallon in the city. Which of the following represents the appropriate null & alternative hypotheses?

• H0: μ ≤ 26

  Ha: μ > 26 claim

• H0: μ < 26

  Ha: μ ≥ 26 claim

• H0: μ > 26 claim

  Ha: μ ≤ 26

• H0: μ = 26

  Ha: μ < 26 claim

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

The owner of a soccer team claims that the average attendance at games is over 62,900. Which of the following represents the appropriate null & alternative hypotheses?

• H0: μ < 62,900

  Ha: μ ≥ 62,900 claim

• H0: μ = 62,900 claim

  Ha: μ < 62,900

• H0: μ > 62,900

  Ha: μ ≤ 62,900 claim

• H0: μ ≤ 62,900

  Ha: μ > 62,900 claim

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" (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)

Tags

CCSS.HSS.IC.B.4

A car manufacturer advertises that its new subcompact models get more than 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis?

• H₀ ≠ 47 (claim)

  H_a = 47

• H₀ ≥ 47

  H_a < 47 (claim)

• H₀ ≤ 47

  H_a > 47 (claim)

• H₀ = 47 (claim)

  H_a ≠ 47

Tags

CCSS.HSS.IC.A.1

The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. What is the null and alternate hypothesis?

• H₀ = 18.4 (claim)

  H_a = 18.4

• H₀ < 18.4

  H_a > 18.4 (claim)

• H₀ > 18.4

  H_a < 18.4 (claim)

• H₀ = 18.4 (claim)

  H_a ≠ 18.4

Tags

CCSS.HSS.IC.A.1

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 (claim)

  H_a : μ ≠ 19

• H_o : μ = 19 (claim)

  H_a : μ ≠ 19

• H_o : μ = 19

  H_a : μ ≠ 19 (claim)

• H_o : μ = 17

  H_a : μ ≠ 17 (claim)

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4