Chapter 10: Hypothesis Tests Regarding a Parameter

Question 1

hypothesis testing

Answer 1

procedure to test claims regarding a population parameter using sample evidence and probabiity

Question 2

null hypothesis (H_0)

Answer 2

basic claim to be rejected

Question 3

alternative hypothesis (H_a)

Answer 3

alternate claim used if the null hypothesis is rejected

Question 4

type 1 error

Answer 4

rejecting H_0 when it is true

Question 5

type 2 error

Answer 5

failing to reject H_0 when it is false

Question 6

level of significance (α)

Answer 6

probability of a type 1 error; used to determine the confidence that an alternate claim is true

Question 7

rejection region (RR)

Answer 7

interval involving a critical number that decides whether a test statistic sufficiently supports the alternate hypothesis

Question 8

test statistic

Answer 8

value that is to be compared with the rejection region to see if the null hypothesis may be rejected

Question 9

classical method

Answer 9

using a t or z score to reject or fail to reject the null hypothesis

Question 10

p-value method

Answer 10

uses the probability of the test interval occurring to reject or fail to reject the null hypothesis

Question 11

What is the first step in a hypothesis test?

Answer 11

Describe the population parameter to be tested

Question 12

What is the second step of hypothesis testing?

Answer 12

state the null hypothesis

Question 13

What is the third step of hypothesis testing?

Answer 13

state the alternative hypothesis and determine the type of test (left, right, or two tailed)

Question 14

What is the fourth step of hypothesis testing?

Answer 14

draw the appropriate distribution with the chosen significance level and find the rejection region

Question 15

What is the fifth step of hypothesis testing?

Answer 15

Write the test statistic formula and make sure the criteria for the test are met

Question 16

What is the sixth step of hypothesis testing?

Answer 16

substituting in known values into the test statistic formula to find that value, then comparing it to the rejection region

Question 17

What is the seventh step of hypothesis testing?

Answer 17

using the test statistic value with the appropriate distribution to find the p-value

Question 18

What is the eighth step of hypothesis testing?

Answer 18

state the conclusion of the hypothesis test in both statistic terms and in plain English terms

Question 19

Which distribution is used for a hypothesis test for the population mean?

Answer 19

t-distribution

Question 20

What criteria must be met to find the t-statistic for population means?

Answer 20

parent population distribution must be approximately normal

Question 21

Which distribution is used for a hypothesis test for the population proportion?

Answer 21

z-distribution

Question 22

What criteria must be met to find the z-statistic for population proportions?

Answer 22

npq ≥ 10 and 20n ≤ N

Question 23

Which distribution is used for a hypothesis test for the standard deviation or variance?

Answer 23

chi-squared distribution

Question 24

What criteria must be met to find the chi-squared statistic for population standard deviations and variances?

Answer 24

parent population distribution must be approximately normal