Hypothesis testing

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

• True
• False

Use the notation to state the alternative hypothesis and null hypothesis: "Less than 4% of high school students take Statistics."

• H_o : p = 0.04

  H₁ : p > 0.04

• H_o : p = 0.04

  H₁ : p < 0.04

• H_o : p = 0.04

  H₁ : p ≠ 0.04

• H_o : p = 0.04

  H₁ : p ≤ 0.04

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: μ = 47

  H₁: μ = 47

• H₀: μ = 47

  H₁: μ < 47

• H₀: μ = 47

  H₁: μ > 47

• H₀: μ = 47

  H₁: μ ≠ 47

Tags

CCSS.HSS.IC.A.1

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

• H₁ = k

• H₁ > k

• H₁ < k

• H₁ ≠ k

What is the only option for the null hypothesis? 

• H₀ = k
• H₀ > k
• H₀ < k
• H₀ ≠ k

Which of the following shows a right-tailed test?

• H₁: µ < 15

• H₀: µ < 15

• H₁: µ > 15

• H₀: µ > 15

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

The mean height of women is greater than 64"

• H₀: μ > 64"

  H₁: μ ≠ 64"

• H₀: μ = 64"

  H₁: μ > 64"

• H₀: p = 64"

  H₁: p ≠ 64"

• H₀: p = 64"

  H₁: p > 64"

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.IC.B.5

A level of significance of 5% means:

• There's a 5% chance we're wrong
• There's a 5% chance we'll be wrong if we fail to reject the null hypothesis
• There's a 5% chance we'll be wrong if we reject the null hypothesis.
• There's a 5% chance you'll get an A on the test.

Tags

CCSS.HSS.IC.B.5

A Type I error is when: 

• We obtain the wrong test statistic
• We reject the null hypothesis when it is actually true
• We fail to reject the null hypothesis when it's actually false
• We reject the alternate hypothesis when it's actually true