Question

What is the correct interpretation of the significance level α in a hypothesis test?

Group of answer choices

a. The probability that H_{a} is true given that
H_{0} is NOT rejected

b. The probability that H_{0} is true given that
H_{0} is rejected

c. The probability of NOT rejecting H_{0} given that
H_{a} is true

d. The probability of rejecting H_{0} given that
H_{0} is true

Answer #1

Its correct answer is D. i.e. the probability of rejecting the Null
hypothesis H0 given that the null hypothesis H0 is true.

So Correct interpretation of the significance level α in a
hypothesis test is the probability of rejecting H0 given that H0 is
true. Its the probability of making a wrong decision.

Let's assume alpha = 0.05 which indicates a 5% risk of conducting
that a difference exists when there is no actual difference.

So its correct answer is D. i.e. the probability of rejecting H0
given that H0 is true.

___ non-directional test
___ directional test
___ alpha
level
___ null hypothesis
___ alternative
hypothesis e.
___ rejection range
___
inferential
___
inference
___ significance tests
___ statistical power
a. The hypothesis that is rejected or retained using inferential
statistics and is often the opposite of what the researcher
believes to be true.
b. The researcher hypothesizes that a given score will be either
higher or lower than the chosen level of significance.
c. The likelihood of rejecting the null hypothesis...

In hypothesis testing, what is the level of significance?
SELECT ALL CORRECT OPTIONS
OPTION A
A value between 0 and 1.
OPTION B
The risk of rejecting the null hypothesis when it is true.
OPTION C
It is selected before a decision rule can be formulated.
OPTION D
All apply.

In each part, we have given the significance level and the
P-value for a hypothesis test. For each case determine if the null
hypothesis should be rejected. Write "reject" or "do not reject"
(without quotations).
(a) α=0.01,P=0.06α
answer:
(b) α=0.07,P=0.06α
answer:
(c) α=0.06,P=0.06
answer:

If the P-value of a
hypothesis test is 0.0330 and the level of significance is α =
0.05, then the conclusion you should draw is to fail to reject the
null hypothesis.
True
False

1. In testing a null hypothesis H0 versus an alternative Ha, H0
is ALWAYS rejected if
A. at least one sample observation falls in the non-rejection
region.
B. the test statistic value is less than the critical value.
C. p-value ≥ α where α is the level of significance. 1
D. p-value < α where α is the level of significance.
2. In testing a null hypothesis H0 : µ = 0 vs H0 : µ > 0,
suppose Z...

Danny was conducting the following hypothesis test where μ =
true mean age (years) of Eminem fans: H0: μ = 12 vs. Ha: μ ≠ 12.
With a p-value = 0.0245, at the 1% level of significance, which is
the correct decision?
Group of answer choices
Insufficient evidence to decide.
Reject the null hypothesis.
Fail to reject the null hypothesis.

Conduct the following test at the α=0.01 level of significance
by determining (a) the null and alternativehypotheses, (b) the
test statistic, and (c) the P-value. Assume that the samples
were obtained independently using simple random sampling.
Test whether p1≠p2. Sample data are x1=30, n1=254, x2=36, and
n2=302.
(a) Determine the null and alternative hypotheses. Choose the
correct answer below.
A. H0: p1=0 versus H1: p1=0
B. H0: p1=p2 versus H1: p1<p2
C. H0: p1=p2 versus H1: p1>p2
D. H0: p1=p2...

The p-value for the test statistic is 0.03. If the specified
Level of Significance is 5%, what is the result of the Hypothesis
Test?
Group of answer choices
Failed to reject the Null Hypothesis
Rejected the Null Hypothesis
Need to consider a different Alternative Hypothesis
There isn’t enough information to determine a conclusion

In a two-tailed hypothesis test of the mean using a 0.05 level
of significance, researchers calculated a p-value of 0.03. What
conclusion can be drawn? The alternative hypothesis should be
rejected because the p-value is so small. The null hypothesis is
true because the p-value is less than the level of significance.
The alternative hypothesis is 3% likely to be true. The null
hypothesis should be rejected because the p-value is less than the
level of significance.
1.The alternative hypothesis...

The null hypothesis in
a hypothesis test refers to _____________.
Multiple Choice
the level of
significance
the default state of
nature or status quo
the probability of
rejecting the alternative hypothesis when it is false
a particular
population parameter specified with the sign ≠

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