MAth 168 Exam 3 Prep Questions

The p-value is

• the probability that the null hypothesis is true.

• the probability that the alternative hypothesis is true.

• the probability, when the null hypothesis is true, of obtaining a sample as extreme as (or more extreme than) the observed sample.

• the probability, when the alternative hypothesis is true, of obtaining a sample as extreme as (or more extreme than) the observed sample.

• A

• B

Tags

CCSS.HSS.IC.B.4

Match the statistics to their p-values.

• phat=0.46

• p-value = 0.72

• phat=0.51

• p-value = 0.293

• phat=0.38

• p-value = 0.138

• phat=0.42

• p-value = 0.019

Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this test.

Mathematical Equivalence

ON

Tags

CCSS.HSS.IC.B.4

The p-value for the sample mean  xbar= 112 is closest to

• 0.10

• 0.01

• 0.25

• 0.65

Decreasing the significance level of a hypothesis test (say, from 5% to 1%) will cause the p-value of an observed test statistic to

• INCREASE

• DECREASE

• STAY THE SAME

• CAUSE A TYPE I ERROR

A Type I error occurs by

• rejecting the null hypothesis when the null hypothesis is true.

• not rejecting the null hypothesis when the null hypothesis is true.

• not rejecting the null hypothesis when the null hypothesis is false

• rejecting the null hypothesis when the null hypothesis is false.

A Type II error occurs by

• rejecting the null hypothesis when the null hypothesis is true.

• not rejecting the null hypothesis when the null hypothesis is true.

• not rejecting the null hypothesis when the null hypothesis is false

• rejecting the null hypothesis when the null hypothesis is false.

Organize these options into the right categories

Groups:

(a) ALPHA = 1%

,

(b) ALPHA = 5%

,

(c) ALPHA = 10%

• Type 2 error possible

• Evidence is VERY IS VERY STRONG

• Type 1 error possible

• P=0.05

• General test strength unstated

• P = 0.001

• Evidence is strong

• P=0.04

• Test importance level is not critical

Match each

• Do Not Reject

• Null

• Reject

• P Value

• 0.018

• Alpha 1% decision

• Zero

• Alpha 2% decision

• 6.88

• Best Point Statistic

Tags

CCSS.HSS.IC.B.4