Hypothesis Testing Means and Proportions

Which test do we run for proportions?

• Z-Test

• T-Test

• 1-PropZTest

• 1-MeanTTest

Which test do we run for means?

• Z-Test

• T-Test

• 1-PropZTest

• 1-MeanTTest

A __________ occurs if you accept the null hypothesis when it is false.

• Type I error

• Type II error

Which of the following represents the appropriate null & alternative hypotheses? The mean height of women is greater than 65"

• H₀: μ > 65"

  Hₐ: μ ≠ 65"

• H₀: μ < 65"

  Hₐ: μ > 65"

• H₀: p > 65"

  Hₐ: p ≠ 65"

• H₀: p = 65"

  Hₐ: p > 65"

A test is made of H₀ : µ = 17 versus H₁ : µ < 17 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that H₀ is rejected.

If the true value of µ is 10, is the conclusion a Type I Error, Type II error, or a correct decision?

• Type I

• Type II

• Correct Decision

A test is made of H₀ : µ = 50 versus H₁ : µ =/= 50 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that we fail to reject H₀ .

If the true value of µ is 65, is the conclusion a Type I Error, Type II error, or a correct decision?

• Type I

• Type II

• Correct Decision

A test is made of H₀ : µ = 50 versus H₁ : µ =/= 50 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that we fail to reject H₀ .

If the true value of µ is 50, is the conclusion a Type I Error, Type II error, or a correct decision?

• Type I

• Type II

• Correct Decision

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

H₀: μ = k

H₁: μ ≠ k

• Left-tailed test

• Two-tailed test

• Right-tailed test

A test is made of H₀ : µ = 17 versus H₁ : µ < 17 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that H₀ is rejected.

If the true value of µ is 17, is the conclusion a Type I Error, Type II error, or a correct decision?

• Type I

• Type II

• Correct Decision