Question
Independent random samples of 140 observations were randomly selected from binomial populations 1 and 2, respectively....
Independent random samples of 140 observations were randomly selected from binomial populations 1 and 2, respectively. Sample 1 had 82 successes, and sample 2 had 87 successes.
Suppose that, for practical reasons, you know that
p1
cannot be larger than
p2.
Test the appropriate hypothesis using α = 0.10.
Find the test statistic. (Round your answer to two decimal places.)
z =
Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
z >
z <
Homework Answers
Answer #1
The statistical software output for this problem is :
z = -0.61
Rejection region
z > None
z < -1.28
Not the answer you're looking for?
Similar Questions
Independent random samples of n1 = 170 and n2 = 170 observations were randomly selected from...
Independent random samples of
n1 = 170
and
n2 = 170
observations were randomly selected from binomial populations 1
and 2, respectively. Sample 1 had 96 successes, and sample 2 had
103 successes.
You wish to perform a hypothesis test to determine if there is a
difference in the sample proportions
p1
and
p2.
(a)
State the null and alternative hypotheses.
H0:
(p1 − p2)
< 0 versus Ha:
(p1 − p2)
> 0
H0:
(p1 − p2)
= 0...
Independent random samples of n1 = 100 and n2 = 100 observations were randomly selected from...
Independent random samples of n1 = 100 and
n2 = 100 observations were randomly selected
from binomial populations 1 and 2, respectively. Sample 1 had 51
successes, and sample 2 had 56 successes.
b) Calculate the standard error of the difference in the two
sample proportions, (p̂1 − p̂2). Make sure to
use the pooled estimate for the common value of p. (Round
your answer to four decimal places.)
d)p-value approach: Find the p-value for the
test. (Round your answer...
Independent random samples, each containing 500 observations, were selected from two binomial populations. The samples from...
Independent random samples, each containing 500 observations,
were selected from two binomial populations. The samples from
populations 1 and 2 produced 388 and 188 successes,
respectively.
(a) Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.04
test statistic =
rejection region |z|>
The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis
that (p1−p2)=0.
B. We can reject the null hypothesis that (p1−p2)=0 and support
that (p1−p2)≠0.
(b) Test H0:(p1−p2)≤0 against Ha:(p1−p2)>0. Use α=0.03
test statistic =
rejection...
Independent random samples of n1 = 700 and n2 = 590 observations were selected from binomial...
Independent random samples of
n1 = 700
and
n2 = 590
observations were selected from binomial populations 1 and 2,
and
x1 = 337
and
x2 = 375
successes were observed.
(a) Find a 90% confidence interval for the difference
(p1 − p2) in the two
population proportions. (Round your answers to three decimal
places.)
A random sample of n = 1,000 observations from a binomial population contained 337 successes. You...
A random sample of n = 1,000 observations from a binomial
population contained 337 successes. You wish to show that p <
0.35.
Calculate the appropriate test statistic. (Round your answer to
two decimal places.)
z =
Provide an α = 0.05 rejection region. (Round your answer to two
decimal places. If the test is one-tailed, enter NONE for the
unused region.)
z >
z <
Independent random samples of n1 = 900 and n2 = 900 observations were selected from binomial...
Independent random samples of
n1 = 900 and n2 = 900
observations were selected from binomial populations 1 and 2,
and
x1 = 120
and
x2 = 150
successes were observed.
(a)
What is the best point estimator for the difference
(p1 − p2)
in the two binomial proportions?
p̂1 − p̂2
n1 −
n2
p1 − p2
x1 − x2
(b)
Calculate the approximate standard error for the statistic used
in part (a). (Round your answer to three decimal...
Independent random samples, each containing 90 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 90 observations,
were selected from two populations. The samples from populations 1
and 2 produced 44 and 35 successes, respectively.
Test H0:(p1?p2)=0H0:(p1?p2)=0 against
Ha:(p1?p2)>0Ha:(p1?p2)>0. Use ?=0.02?=0.02
(a) The test statistic is:
(b) The P-value is:
Independent random samples, each containing 50 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 50 observations,
were selected from two populations. The samples from populations 1
and 2 produced 31 and 25 successes, respectively. Test H0:(p1−p2)=0
against Ha:(p1−p2)≠0. Use α=0.05.
(a) The test statistic is
(b) The P-value is
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 60 observations,
were selected from two populations. The samples from populations 1
and 2 produced 42 and 30 successes, respectively.
Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.09
(a) The test statistic is
(b) The P-value is
(c) The final conclusion is
A. We can reject the null hypothesis that
(p1−p2)=0(p1−p2)=0 and accept that (p1−p2)≠0(p1−p2)≠0.
B. There is not sufficient evidence to reject the
null hypothesis that (p1−p2)=0(p1−p2)=0.
Independent random samples, each containing 80 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 80 observations,
were selected from two populations. The samples from populations 1
and 2 produced 16 and 10 successes, respectively.
Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.1
(a) The test statistic is
(b) The P-value is
(c) The final conclusion is
A. There is not sufficient evidence to reject the
null hypothesis that (p1−p2)=0
B. We can reject the null hypothesis that
(p1−p2)=0 and accept that (p1−p2)≠0
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 19 minutes ago
asked 24 minutes ago
asked 26 minutes ago
asked 47 minutes ago
asked 49 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago