Question
In: Statistics and Probability
Q2) Independent random samples of sizes n1 = 208 and n2 = 209 were taken from...
Q2) Independent random samples of sizes n1 = 208 and n2 = 209 were taken from two populations. In the first sample, 172 of the individuals met a certain criteria whereas in the second sample, 181 of the individuals met the same criteria.
Test the null hypothesis H0:p1=p2versus the alternative hypothesis HA:p1>p2.
a) Calculate the z test statistic, testing the null hypothesis that the population proportions are equal. Round your response to at least 2 decimal places.
b) What is the approximate value of the p-value? Round your response to at least 4 decimal places.
c) Is there any evidence, at the 10% level of significance, to indicate that p1and p2are not equal to each other? Yes or No
Solutions
orchestra answered 2 years agoRelated Solutions
Independent random samples of sizes n1 = 307 and n2 = 309 were taken from two...
Independent random samples of sizes n1 = 307
and n2 = 309 were taken from two populations.
In the first sample, 92 of the individuals met a certain criteria
whereas in the second sample, 108 of the individuals met the same
criteria.
Test the null hypothesis H0:p1=p2versus the alternative
hypothesis HA:p1<p2.
a) Calculate the z test statistic, testing
the null hypothesis that the population proportions are equal.
Round your response to at least 3 decimal places.
b) What is the...
Independent random samples of sizes n1 = 202 and n2 = 210 were taken from two...
Independent random samples of sizes n1 = 202
and n2 = 210 were taken from two populations.
In the first sample, 170 of the individuals met a certain criteria
whereas in the second sample, 178 of the individuals met the same
criteria.
Test the null hypothesis H0:p1=p2versus the alternative
hypothesis HA:p1>p2.
a) Calculate the z test statistic, testing
the null hypothesis that the population proportions are equal.
Round your response to at least 3 decimal places.
b) What is the...
(S 11.1) Random samples of sizes n1 = 404 and n2 = 310 were taken from...
(S 11.1) Random samples of sizes n1 = 404
and n2 = 310 were taken from two independent
populations. In the first sample, 107 of the individuals met a
certain criteria whereas in the second sample, 135 of the
individuals met the same criteria. Run a 2PropZtest to test whether
the proportions are different, and answer the following
questions.
What is the value of p?, the pooled sample proportion?Round your
response to at least 3 decimal places.
Calculate the z...
Suppose two independent random samples of sizes n1 = 9 and n2 = 7 that have...
Suppose two independent random samples of sizes n1 = 9 and n2 =
7 that have been taken from two normally distributed populations
having variances σ12 and σ22 give sample variances of s12 = 117 and
s22 = 19. (a) Test H0: σ12 = σ22 versus Ha: σ12 ≠ σ22 with σ = .05.
What do you conclude? (Round your answers to 2 decimal places.) F =
F.025 = H0:σ12 = σ22 (b) Test H0: σ12 < σ22versus Ha: σ12...
Suppose two independent random samples of sizes n1 = 9 and n2 = 7 that have...
Suppose two independent random samples of sizes n1 = 9 and n2 =
7 that have been taken from two normally distributed populations
having variances σ12 and σ22 give sample variances of s12 = 94 and
s22 = 13. (a) Test H0: σ12 = σ22 versus Ha: σ12 ≠ σ22 with σ = .05.
What do you conclude? (Round your answers to 2 decimal places.) F =
F.025 = H0:σ12 = σ22 (b) Test H0: σ12 < σ22versus Ha: σ12...
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...
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 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...
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...
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