Testing Hypothesis

If the alpha level is increased from 0.01 to 0.05, then the boundaries for the critical region move farther away from the center of the distribution.

• True
• False

Tags

CCSS.HSN.Q.A.1

Define a Type I error?

• Failing to reject a false null hypothesis

• Rejecting a true null hypothesis

• Rejecting a false null hypothesis

• Failing to reject a true null hypothesis

In a research report, the results of a hypothesis test include the phrase " z=3.15, p<0.01". This means that the test failed to reject the null hypothesis.

• True
• False

Tags

CCSS.HSS.IC.B.5

Which of the following represents the appropriate null & alternative hypotheses for this claim?

"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?

• $H_a:\mu<15$

• $H_0:\mu<15$

• $H_a:\mu>15$

• $H_0:\mu>15$

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

Tags

CCSS.HSS.IC.B.5

When p-value is greater than alpha we:

• Reject Ho

• Fail to reject Ha

• Fail to reject Ho

• Reject Ha

Tags

CCSS.HSS.IC.B.5

CCSS.HSS.IC.A.1

A Type II 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

Which of the following shows a left-tailed test?

• Ha: µ < 15

• H₀: µ < 15

• Ha: µ > 15

• H₀: µ > 15

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the null hypothesis.

• H_o: p < 0.5, where p is the true proportion of Americans who can name one justice currently serving.

• H_o:p > 0.5 where p is the true proportion of Americans who can name one justice currently serving.

• H_o:p ≥ 0.5 where p is the true proportion of Americans who can name one justice currently serving.