9.1 Practice with Hypotheses

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"

Which of the following shows a right-tailed test?

• Ha: µ < 15
• H₀: µ < 15
• Ha: µ > 15
• H₀: µ > 15

Define a Type I error?

• The failure to reject a false null hypothesis
• Rejecting a true null hypothesis
• The acceptance to reject a null hypothesis
• Accepting a true null  hypothesis

What is the only option for the null hypothesis? 

• H₀ = k
• H₀ > k
• H₀ < k
• H₀ ≠ k

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 weighs more than 18.4 lbs. What are the null and alternative hypotheses?

• H₀ = 6

  H_a ≠ 6

• H₀ ≤ 18.4

  H_a > 18.4

• H₀ ≥ 18.4

  H_a < 18.4

• H₀ = 18.4

  H_a ≠ 18.4

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

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

A __________ occurs if you fail to reject the null hypothesis when it is false.

• Type I error

• Type II error

Hypothesis is defined as

• a research statement

• a research questions

• a prediction statement

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

• H_a = k

• H_a > k

• H_a < k

• H_a ≠ k