Question

You perform a hypothesis test for a hypothesized population mean at the 0.01 level of significance. Your null hypothesis for the two-sided test is that the true population mean is equal to your hypothesized mean. The two-sided p-value for that test is 0.023. Based on that p-value... A. you should accept the null hypothesis. B. the null hypothesis cannot be correct. C. you should reject the null hypothesis. D. you should fail to reject the null hypothesis.

Answer #1

Solution

Given,

= 0.01

Two sided test

p value = 0.023

If p value is greater than , then we Fail to reject the null hypothesis

If the p value is less than , then we Reject the the null hypothesis.

Here the p value 0.023 is greater then 0.01

So, you should fail to reject the null hypothesis.

Option D is correct.

Suppose that before we conduct a hypothesis test we pick a
significance level of ?. When the test is conducted, we get a
p-value of 0.023. Given this p-value, we
a. can reject the null hypothesis for any significance level, ?,
greater than 0.023.
b. cannot reject the null hypothesis for a significance level,
?, greater than 0.023.
c. can reject the null hypothesis for a significance level, ?,
less than 0.023.
d. draw no conclusion about the null hypothesis.

Perform a hypothesis test for the mean for the following sample.
The significance level alpha is 5%.
Sample: 7.9, 8.3, 8.4, 9.6, 7.7, 8.1, 6.8, 7.5, 8.6, 8, 7.8,
7.4, 8.4, 8.9, 8.5, 9.4, 6.9, 7.7.
Test if mean≠8.7.
Assume normality of the data.
1 Formulate the hypothesis by entering the corresponding signs:
"<", ">", "=" or "≠" and numbers. Hint: in your
answers use "<>" instead of "≠".
H0: mean
H1:mean
2 p-value (rounded to three decimal places):
3...

You wish to test the following claim (Ha) at a significance
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are normally distributed, but you do not know the standard
deviations for either. And you have no reason to believe the
variances of the two populations are equal You obtain a sample of
size n1=21 with a mean of ¯x1=65.4 and a standard deviation of
s1=8.8 from the first population. You obtain a sample of size n2=17
with a...

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

True or False
1. Hypothesis tests are robust to the significance level you
choose, meaning regardless of the alpha level: .10, .05, or .01,
our test will have the same conclusion or result.
2. If alpha is greater than the p-value, then we reject the null
hypothesis.
3. The p-value is strictly the probability the null hypothesis
being true.
4. Hypothesis tests are accessing the evidence provided by the
data and deciding between two competing hypotheses about the
population parameter....

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level of α = 0.01 . H o : μ = 59.6 H a : μ ≠ 59.6 You believe the
population is normally distributed and you know the population
standard deviation is σ = 8.7 . You obtain a sample mean of ¯ x =
64.2 for a sample of size n = 21 . What is the test statistic for
this sample? test statistic...

Hypothesis Test for a Population Mean (σσ is
Unknown)
You wish to test the following claim (HaHa) at a significance level
of α=0.10α=0.10.
Ho:μ=77.2Ho:μ=77.2
Ha:μ≠77.2Ha:μ≠77.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=83n=83
with mean M=78.9M=78.9 and a standard deviation of
SD=13.7SD=13.7.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this...

You wish to test the following claim (Ha) at a significance
level of α=0.01.
Ho: p1 = p2
Ha: p1 ≠ p2
You obtain a sample from the first population with 251 successes
and 541 failures. You obtain a sample from the second population
with 179 successes and 424 failures. For this test, you should NOT
use the continuity correction, and you should use the normal
distribution as an approximation for the binomial
distribution.
What is the test statistic for...

You wish to test the following claim (HaHa) at a significance
level of α=0.01
Ho:μ1=μ2
Ha:μ1<μ2
You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=22 with a mean of ¯x1=65.6 and a
standard deviation of s1=6.2 from the first population. You obtain
a sample of size n2=20 with a mean...

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:μ=59.9Ho:μ=59.9
Ha:μ<59.9Ha:μ<59.9
You believe the population is normally distributed, but you do
not know the standard deviation. You obtain a sample of size
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s=19.3s=19.3.
What is the test statistic for this sample?
test statistic = Round to 3 decimal places
What is the p-value for this sample?
p-value = Use Technology Round to 4 decimal
places.
The p-value...

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