Question
In: Statistics and Probability
Independent random samples of 180 observations were randomly selected from binomial populations 1 and 2, respectively....
Independent random samples of 180 observations were randomly selected from binomial populations 1 and 2, respectively. Sample 1 had 104 successes, and sample 2 had 113 successes.
Suppose that, for practical reasons, you know that
p1
cannot be larger than
p2.
Test the appropriate hypothesis using α = 0.10.
vH0: (p1 − p2) = 0 versus Ha: (p1 − p2) < 0
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<?
Solutions
orchestra answered 2 years agoRelated Solutions
Independent random samples of n1 = 800 and n2 = 610 observations were selected from binomial populations...
Independent random samples of n1 = 800 and
n2 = 610 observations were selected from binomial
populations 1 and 2, and x1 = 336 and x2 =
378 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.)
_______ to _______/
(b) What assumptions must you make for the confidence interval
to be valid? (Select all that apply.)
independent random samples
symmetrical distributions for...
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 37 and 30 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
(c) The final conclusion is
A. We can reject the null hypothesis that
(p1−p2)=0 and conclude that (p1−p2)≠0.
B. There is not sufficient evidence to reject the
null hypothesis that (p1−p2)=0.
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 23 and 13 successes, respectively.
Test H0:(p1−p2)=0H0:(p1−p2)=0 against
Ha:(p1−p2)>0Ha:(p1−p2)>0. Use α=0.03α=0.03
(a) The test statistic is
(b) The P-value is
1 point) Independent random samples, each containing 60 observations, were selected from two populations. The samples...
1 point) Independent random samples, each containing 60
observations, were selected from two populations. The samples from
populations 1 and 2 produced 33 and 22 successes, respectively.
Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.08.
(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 and accept that (p1−p2)≠0. B. There is not
sufficient evidence to reject the null hypothesis that
(p1−p2)=0.
Independent random samples of n1 = 700 and n2 = 520 observations were selected from binomial...
Independent random samples of
n1 = 700
and
n2 = 520
observations were selected from binomial populations 1 and 2,
and
x1 = 335
and
x2 = 378
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.)
Independent random samples of n1 = 800 and n2 = 670 observations were selected from binomial...
Independent random samples of
n1 = 800
and
n2 = 670
observations were selected from binomial populations 1 and 2,
and
x1 = 336
and
x2 = 378
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.)
to
(b) What assumptions must you make for the confidence interval to
be valid? (Select all that apply.)nq̂ > 5 for samples
from both populationssymmetrical...
1. Independent random samples of n1 = 200 and n2 = 200 observations were randomly selected...
1. Independent random samples of n1 = 200
and n2 = 200 observations were randomly
selected from binomial populations 1 and 2, respectively. Sample 1
had 116 successes, and sample 2 had 122 successes.
a) 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.)
b) Critical value approach: Find the rejection region
when α...
3. Independent random samples of n1 = 16 and n2 = 13 observations were selected from...
3. Independent random samples of n1 = 16 and n2 = 13
observations were selected from two normal populations with equal
variances. The sample means and variances are shown below:
Population 1 Population 2 Sample size 16 13 Sample mean 34.6 32.2
Sample variance 4.0 4.84 a) Suppose you wish to test if there is
difference between the population means with significance level of
α = 0.05. State the null and alternative hypotheses that you use
for the test. b)...
Independent random samples of 36 and 46 observations are drawn from two quantitative populations, 1 and...
Independent random samples of 36 and 46 observations are drawn
from two quantitative populations, 1 and 2, respectively. The
sample data summary is shown here.
Sample 1
Sample 2
Sample Size
36
46
Sample Mean
1.29
1.32
Sample Variance
0.0590
0.0530
Do the data present sufficient evidence to indicate that the
mean for population 1 is smaller than the mean for population 2?
Use one of the two methods of testing presented in this section.
(Round your answer to two...
The following observations are from two independent random samples, drawn from normally distributed populations. Sample 1...
The following observations are from two independent random
samples, drawn from normally distributed populations.
Sample 1
[66.73, 66.8, 75.06, 58.09, 54.64, 52.83]
Sample 2
[66.71, 68.17, 66.22, 66.8, 68.81]
Test the null hypothesis H0:σ21=σ22 against the alternative
hypothesis HA:σ21≠σ22.
a) Using the larger sample variance in the numerator, calculate
the F test statistic.
Round your response to at least 3 decimal places.
b) The p-value falls within which one of the following
ranges:
p-value > 0.50
0.10 < p-value...
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