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
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.
Hypothesis Testing – Indicate five steps in your answers
(Null/alternate hypotheses, test-statistic, rejection area,
decision for rejection, conclusion)
Randy is a famous pitcher in Long Island High School. His
average throwing distance is 35 yards. However, his coach was
analyzing Randy’s throwing angle and figuring how he had a bad
habit to unconsciously lift his arm earlier than he was supposed to
do. Coach trained Randy for his new strategy and measured his
throwing distance that turned out to be...