9.5 Two Sample Hypothesis Testing-Variance & Standard Deviation

A P-value indicates:

• the probability that the null hypothesis is true
• the probability that the alternative hypothesis is true
• the probability of obtaining the results (or one more extreme) if the null hypothesis is true
• probability of a Type I error

Tags

CCSS.7.RP.A.2D

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"

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

•   a)  reject the null
• b)  reject the alternative
• c)  Accept the null
• d)  Fail to reject the alternative

When p-value is greater than alpha we:

• Reject Ho
• Accept Ha
• Accept Ho
• Reject Ho

When performing a test about the population mean, what distribution would you need to use?  (Population standard deviation is not know.)

• z
• t
• chi-square

When performing a test about the population mean, what distribution would you need to use?  (Population standard deviation is know.)

• z
• t
• chi-square

When performing a test about the population proportion, what distribution would you need to use? 

• z
• t
• chi-square

A left-tailed test has a test statistic of z = -2.72. Which is the correct p-value?

• 0.0033
• .00486
• .0096
• .0066 
  information

What is the critical value (in a test about proportions) for a left-tailed test with α = 0.05 and n ≥ 30. 

• z₀ = -1.645
• z₀ = -2.33
• z₀ = -1.96
• z₀ = 2.58

What is the critical value (in a test about means when population standard deviation is known) for a right-tailed test with α = 0.01 and n ≥ 30. 

• z₀ = 1.645
• z₀ = 2.33
• z₀ = 1.96
• _t0 = 2.58

Tags

CCSS.HSS.ID.A.4