Intro to hypothesis testing

Open Ended

What is inferential statistics?

Open Ended

What inferential tools we have studied so far?

Open Ended

What is descriptive statistics?

Multiple Choice

A sample size of n = 64 is drawn from a population whose standard deviation is σ = 5.6.

Find the margin of error for a 99% confidence interval for µ.

• 1.799

• 1.798

• 1.803

Multiple Choice

A population has a standard deviation of σ = 17.3. How large of a sample must be drawn so that a 95% confidence interval for µ will have a Margin of Error equal to 1.4?

• 586.6

• 587

• 586

• 585

Multiple Choice

True or False:

The more confident you want to be, the smaller your confidence interval will be.

• True

• False

Multiple Choice

Which of the following values below represents the critical value for a 98% confidence interval?

• 2.326

• 2.054

• 1.645

• 3.091

Multiple Choice

What can you do to reduce the margin of error? 

• increase the confidence level

• decrease the confidence level

• increase sample size

• decrease sample size

Open Ended

What is the p-value? What will change the p-value?

Open Ended

What do we mean by convincing evidence?

Multiple Choice

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"

Multiple Choice

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

• a) Reject the null hypothesis

• b) Reject the alternative hypothesis

• c) Fail to reject the null hypothesis

• d) Fail to reject the alternative hypothesis

Multiple Choice

When p-value is greater than alpha we:

• Reject Ho

• Fail to reject Ha

• Fail to reject Ho

• Reject Ha

Multiple Choice

What is the only option for the null hypothesis? 

• H₀ = k

• H₀ > k

• H₀ < k

• H₀ ≠ k

Multiple Choice

A mayor is concerned about the percentage of city residents who express disapproval of his job performance. His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%. They will use a follow up poll to access effectiveness. What are the correct null and alternative hypotheses?

• Ho: μ > 21

  Ha: μ < 21

• Ho: p > .20

  Ha: p < .20

• Ho: p < .21

  Ha: p > .21

• Ho: p > .21

  Ha: p < .21

Multiple Choice

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 does not weight 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

Multiple Choice

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

• H_o : X ≥ 4% and H₁ : X > 4%

• H_o : X ≤ 4% and H₁ : X < 4%

• H_o : X ≥ 4% and H₁ : X < 4%

• H_o : X > 4% and H₁ : X ≤ 4%

Homework

Khan Academy

Videos + Practice

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