Question

Question 8
Hypothesis Test - Terminology
Match terms to descriptions Question 8 options:

a) The hypothesis expressing a claim involving one of =, ≤ (at most), or ≥ (at least) and requiring no (null) action.
b) The hypothesis expressing a claim involving one of ≠, >, or < and requiring action.
c) The sign of the critical value of a a 1-tail test with upper reject region is
d) Greek letter denoting the population standard deviation
e) For an upper tail test, the probability of an equal or greater test statistic.
f) Greek letter denoting the population mean
g) The sign of the critical value of a 1-tail test with lower reject region is
h) Rejecting H0 when H0 is actually false
i) The risk as a probability that we are willing to take of rejecting H0 when it is actually true.
j) Greek letter denoting the population proportion
k) Failure to reject H0 when H0 is actually false
l) Rejection of the null hypothesis when H0 is actually true
M) The value of the test statistic where the pvalue = significance level α.

Match with the following:
1) H0
2) HA
3) pvalue
4) alpha α
5) Critical value
6) Type 1 error
7) Type 2 error
8) Not an error
9) Negative
10) Positive
11) μ
12) π
13) σ
14) No answer fits

Answer 1

a) The hypothesis expressing a claim involving one of =, ≤ (at most), or ≥ (at least) and requiring no (null) action.

Answer: 1) H0
b) The hypothesis expressing a claim involving one of ≠, >, or < and requiring action.

Answer: 2) HA
c) The sign of the critical value of a a 1-tail test with upper reject region is

Here test is right tailed.

Answer: 10) Positive

d) Greek letter denoting the population standard deviation

Answer: 13) σ
e) For an upper tail test, the probability of an equal or greater test statistic.

Answer: 3) pvalue

f) Greek letter denoting the population mean

Answer: 11) μ

g) The sign of the critical value of a 1-tail test with lower reject region is

Answer: 9) Negative

h) Rejecting H0 when H0 is actually false

Answer: 8) Not an error

i) The risk as a probability that we are willing to take of rejecting H0 when it is actually true.

Answer:  4) alpha α

j) Greek letter denoting the population proportion

Answer: 12) π

k) Failure to reject H0 when H0 is actually false

Answer: 7) Type 2 error

l) Rejection of the null hypothesis when H0 is actually true

Answer: 6) Type 1 error

M) The value of the test statistic where the pvalue = significance level α.

Answer: 5) Critical value