Significance Testing Extra Practice

Given a sample size of 23 and a t-statistic of 2.18,

determine the p-value for the hypotheses

H₀: μ = 13.4, H_A: μ < 13.4

• .02 < p < .01

• .02 < p < .025

• .04 < p < .05

• .02 < p < .04

• .025 < p < .05

A sample of 33 bricks is weighed. The mean weight of each brick is 8.5 pounds with a standard deviation of 0.4 pounds. Identify the test statistic given H₀: μ = 8.6, H_A: μ < 8.6

• t = -1.436

• z = 1.436

• p = .0803

• p = .1606

• t = 1.436

A sample of 33 bricks is weighed. The mean weight of each brick is 8.5 pounds with a standard deviation of 0.4 pounds. Identify the p-value given H₀: μ = 8.6, H_A: μ < 8.6

• p = .0755

• p = .0415

• p = .0803

• p = .1606

• p = .9197

H₀: µ = 19, H₀: µ < 19, and a p-value of 0.03 at α = .05.

Identify the true statement(s).

• We accept µ = 19

• We reject µ = 19

• We have proven µ = 19

• We reject µ < 19

• We fail to reject µ = 19

How do you spell μ?

• MÚ

• mu

• Âlpha

• sigma

• omega

Only about 20% of people who try to quit smoking succeed. Sellers of a motivational tape claim that listening to their recorded messages can help people quit. What is the alternative hypothesis?

• p = 0.2
• p = 0.25
• p < 0.2
• p > 0.2

The motivational tape company conducts a study and finds that 14 of 50 people who listened to the tape were successful at quitting. Their null hypothesis is that p = 0.2. What is p-hat for this study? 

• 0.28
• 0.14
• 0.50
• 0.20

What is the name of the claim we are trying to find evidence against?

• null hypothesis
• alternative hypothesis
• margin of error
• point estimate

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

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