If the alternate hypothesis states that µ does not equal 4,000,
where is the rejection region...
If the alternate hypothesis states that µ does not equal 4,000,
where is the rejection region for the hypothesis test?
A. Both tails
B. Lower or left tail
C. Upper or right tail
D. Center
Solutions
Expert Solution
Option-A) Both tails. Because is is a two-tailed test
1) null hypothesis
2) alternative hypothesis
3) where the region of rejection lies (upper tail, lower tail,
both tails)
4) the test that is to be used
5) the degrees of freedom
6) the critical value of the test statistic
7) the computed value of the test statistic
8) the statistical decision (whether the null hypothesis is
rejected or not)
9) the p-value
10) the assumptions you made in your work
Now, finally - Here is the question:
Trail mix...
Define the null hypothesis,
and the alternate hypothesis
Define the acceptance
region
Define a one-sided alternate
hypothesis and two-two sided alternate hypothesis
Define the
α error
Define the
β error
Define a type I error and a
type-II error.
In terms of fixed significance
testing, define the P-value.
Define the null hypothesis,
and the alternate hypothesis
Define the acceptance
region
Define a one-sided alternate
hypothesis and two-two sided alternate hypothesis
Define the
α error
Define the
β error
Define a type I error and a
type-II error.
In terms of fixed significance
testing, define the P-value.
For each of the following examples of tests of hypothesis about
µ, show the rejection and nonrejection regions on the
t-distribution curve. (a) A two-tailed test with α = 0.01 and n =
15 (b) A left-tailed test with α = 0.005 and n = 25 (c) A
right-tailed test with α = 0.025 and n = 22
The null hypothesis and the alternate hypothesis are:
H0: The frequencies are equal.
H1: The frequencies are not equal.
Category
f0
A
10
B
10
C
20
D
10
State the decision rule, using the 0.01 significance level.
(Round your answer to 3 decimal places.)
Compute the value of chi-square. (Round your answer to 2
decimal place.)
What is your decision regarding H0?
___ (do not reject or reject) H0. The frequencies are ____
The null hypothesis and the alternate hypothesis are:
H0: The frequencies are equal.
H1: The frequencies are not equal.
Category
f0
A
10
B
30
C
30
D
10
State the decision rule, using the 0.05 significance level.
(Round your answer to 3 decimal places.)
Compute the value of chi-square. (Round your answer to 2
decimal place.)
What is your decision regarding H0?
Determine the effect of expanding the rejection region
on a hypothesis test.
A)Decreases the value of type I and type II
errors.
B)Decreases the value of type I error.
C)Decreases the value of type II error.
D)None of the above
TEST THE APPROPRIATE HYPOTHESIS. Include the null and alternate
hypotheses, degrees of freedom, test statistic, rejection region,
and decision.
You roll a die 48 times. the results as followed
Number 1 2 3 4 5 6
Frequency 4 13 2 14 13 2
Use a significance level of 0.05 to test the claim that the die
is fair
Use tables in the Appendix to specify the appropriate
Rejection Region ONLY for each
hypothesis test described below
a) H0: σ12 / σ22 = 1 (With sample sizes n1 = 25 and n2 = 16.)
Ha: σ12 / σ22 < 1 α = .05
b) H0: There is no significant difference in Block Means. Ha:
There is a significant difference in at least some pair(s) of Block
Means. α = .01 (With 6 Treatments and 25 Blocks.)
3. Find the rejection region (for the standardized test
statistic) for each hypothesis test. Identify the test as
left-tailed, right-tailed, or two-tailed.
H0:μ=141H0:μ=141 vs. Ha:μ<141Ha:μ<141 @
α=0.20.α=0.20.
H0:μ=−54H0:μ=−54 vs. Ha:μ<−54Ha:μ<−54 @
α=0.05.α=0.05.
H0:μ=98.6H0:μ=98.6 vs. Ha:μ≠98.6Ha:μ≠98.6 @ α=0.05.α=0.05.
H0:μ=3.8H0:μ=3.8 vs. Ha:μ>3.8Ha:μ>3.8 @ α=0.001.