Question
In: Statistics and Probability
Two different simple random samples are drawn from two different populations. The first sample consists of...
Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 19 having a common attribute. The second sample consists of 2200 people with 1555 of them having the same common attribute. Compare the results from a hypothesis test of p 1=p 2 (with a 0.01 significance level) and a 99% confidence interval estimate of p 1-p 2. Calculate the test statistic z to two decimal places, the critical values, and find the confidence interval.
Solutions
orchestra answered 2 years agoRelated Solutions
Two different simple random samples are drawn from two different populations. The first sample consists of...
Two different simple random samples are drawn from two different
populations. The first sample consists of 20 people with 9 having a
common attribute. The second sample consists of 2000 people with
1440 of them having the same common attribute. Compare the results
from a hypothesis test of p 1equalsp 2 (with a 0.01 significance
level) and a 99% confidence interval estimate of p 1minusp 2.
Identify the test statistic.
Identify the critical value(s).
Two different simple random samples are drawn from two different populations. The first sample consists of...
Two different simple random samples are drawn from two different
populations. The first sample consists of 30 people with 14 having
a common attribute. The second sample consists of 1900 people with
1370 of them having the same common attribute. Compare the results
from a hypothesis test of p 1equalsp 2 (with a 0.01 significance
level) and a 99% confidence interval estimate of p 1minusp 2. What
are the null and alternative hypotheses for the hypothesis test?
A. Upper H...
10. Two different simple random samples are drawn from two different populations. The first sample consists...
10. Two different simple random samples are drawn from two
different populations. The first sample consists of 40 people with
21 having a common attribute. The second sample consists of 1800
people with 1271 of them having the same common attribute. Compare
the results from a hypothesis test of p 1=p 2 (with a
0.05 significance level) and a 95% confidence interval estimate
of p 1-p 2.
What are the null and alternative hypotheses for the hypothesis
test?
A.H 0: p...
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...
Two independent samples are drawn from two populations, and the following information is provided. Sample...
Two independent samples are drawn from two populations, and the
following information is provided.
Sample
1
Sample 2
n/x
34
52
55
65
s
14
18
We want to test the following hypotheses.
H0: μ1 - μ2 ≥ 0
Ha: μ1 - μ2 < 0
Determine the degrees of freedom.
Compute the test statistic.
At the 5% level, test the hypotheses.
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent
populations. A summary of the samples sizes, sample means, and
sample standard deviations is given below:
n1=37,n2=44,x¯1=58.9,x¯2=74.7,s1=5.5s2=10.1 n 1 =37, x ¯ 1 =58.9, s
1 =5.5 n 2 =44, x ¯ 2 =74.7, s 2 =10.1 Find a 95.5% confidence
interval for the difference μ1−μ2 μ 1 − μ 2 of the means, assuming
equal population variances. Confidence Interval
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent
populations. A summary of the samples sizes, sample means, and
sample standard deviations is given below:
n1=39,n2=48,x¯1=52.5,x¯2=77.5,s1=5s2=11 Find a 97.5% confidence
interval for the difference μ1−μ2 of the means, assuming equal
population variances. Confidence Interval =
Two random samples of 40 students were drawn independently from two populations of students. Assume their...
Two random samples of 40 students were drawn independently from
two populations of students. Assume their aptitude tests are
normally distributed (total points = 100). The following statistics
regarding their scores in an aptitude test were obtained: xbar1=
76, s1 = 8, xbar2 = 72, and s2 = 6.5.
Test at the 5% significance level to determine whether we can infer
that the two population means differ. (Note: You cannot necessarily
assume that the populations have the same variances).
Please...
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...
Two random samples are selected from two independent populations. A summary of the sample sizes, sample...
Two random samples are selected from two independent
populations. A summary of the sample sizes, sample means, and
sample standard deviations is given below:
n1=43, x¯1=59.1, ,s1=5.9
n2=40, x¯2=72.6, s2=11
Find a 99% confidence interval for the difference μ1−μ2 of the
means, assuming equal population variances.
_________<μ1−μ2<____________
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