Question

A researcher did a one-tailed hypothesis test using an alpha level of .01, H0 was rejected.A colleague analyzed the same data but used a two-tailed test with α=.05, H0 was failed to reject. Can both analyses be correct? Explain your answer.

Answer #1

H0 is rejected => P-value<0.01

Note that,

P-value<0.01<0.05

So, H0 should be rejected at 5% also.

So, both analyses cannot be correct .

A researcher conducted a single-sample null hypothesis test with
the z-statistic. The researcher reports that z = +1.30. This
z-statistic was calculated from sample data that was drawn from a
normal population. The researcher sets α = .05 and uses a
two-tailed test. On the basis of his data, the researcher decides
to fail to reject the null hypothesis. Did the researcher make the
correct decision or did he make an error? If he made an error, what
type of...

1.- A researcher obtains t = 2.25 for a
repeated-measures study using a sample of n = 10
participants. Based on this t value, what is the correct
decision for a two-tailed test?
a.
Reject the null hypothesis with α = .05 but not with
α = .01
b.
Reject the null hypothesis with both α = .05 and
α = .01
c.
Fail to reject the null hypothesis with both α = .05
and α = .01
d.
Cannot...

Question #3
A researcher is conducting and experiment to evaluate a
treatment that is expected to increase the scores for individuals
in a population. If the researcher uses a one-tailed test with ( a
= .01), then which of the following correctly identifies the
critical region?
A. z > 2.33
B. z > 2.58
C. z < 2.33
D. z < 2.58
Question #4
A researcher evaluates a treatment effect using a two tailed
hypothesis test with ( a =...

Is there a relationship between confidence intervals and
two-tailed hypothesis tests? Let c be the level of
confidence used to construct a confidence interval from sample
data. Let α be the level of significance for a two-tailed
hypothesis test. The following statement applies to hypothesis
tests of the mean.
For a two-tailed hypothesis test with level of significance
α and null hypothesis H0: μ =
k, we reject H0 whenever
k falls outside the c = 1 − α
confidence...

Is there a relationship between confidence intervals and
two-tailed hypothesis tests? Let c be the level of
confidence used to construct a confidence interval from sample
data. Let α be the level of significance for a two-tailed
hypothesis test. The following statement applies to hypothesis
tests of the mean.
For a two-tailed hypothesis test with level of significance
α and null hypothesis H0: μ =
k, we reject H0 whenever
k falls outside the c = 1
– α confidence interval...

#1.
a. You do a hypothesis test and reject the null hypothesis at
the α = .05 level. What can you say about p? Hint: Your answer
should be an inequality.
b.Can you tell from this information whether you would reject at
the α = .10 level? Explain.
c. Can you tell from this information whether you would reject
at the α = .01 level? Explain.
#2
a You do a hypothesis test and fail to reject the null
hypothesis...

N
Mean
Std. Deviation
Std. Error Mean
AGE
25
35.6800
11.2979
2.2596
If we test H0: μ ≥ 40, can we reject the null
hypothesis? Compare the p-value from the output to the
alpha level to make your decision.
(Hint: This is a one-tailed test; Use the two-tailed
p-value (from the output) divided by 2 to get one-tailed
p-value)
Yes, at both the .01 and .05 levels.
At the .01 level, but not at the .05 level.
At...

If one is making a two-tailed test and the value of the z test
statistic is -11.12, a correct conclusion from this is
Group of answer choices:
do not reject HO
a type II error has been made.
reject HO
reject HO at the .05 level but not at the .01 level.

A two-tailed hypothesis test is being used to evaluate a
treatment effect with α = .05. If the sample data produce a z-score
statistic of z = -1.24, then what is the correct decision?
Reject the null hypothesis and conclude that the treatment has
no effect.
Reject the null hypothesis and conclude that the treatment has
an effect.
Fail to reject the null hypothesis and conclude that the
treatment has an effect.
Fail to reject the null hypothesis and conclude...

Suppose you perform a two-tailed one-sample t-test,
using an alpha of .05, on data from 15 participants. Your obtained
value of t is 2.91, and the critical value of t
is 2.754. Which of the following is the correct way to report this
finding?

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