Question

Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 10 having a common attribute. The second sample consists of 2200 people with 1595 of them having the same common attribute. Compare the results from a hypothesis test of p1 = p2 (with a 0.01 significance level) and a 99% confidence interval estimate of p1 - p2.

1. Identify the test statistic ____ (round to 2 decimal places)

2. Identify the critical values ____ (round to 3 decimal places)

3. The test statistic is ______ the critical region, so _______ the null hypothesis. There is _______ evidence to conclude that p1 does not equal p2.

4. The 99% confidence interval is _____ < (p1 - p2) < ____

What is the conclusion based on the confidence interval?

5. Since 0 is _____ in the interval, it indicates to _____ the null hypothesis

How do the results from the hypothesis test and the confidence interval compare?

6. The results are _____, since the hypothesis test suggests that p1 ____ p2, and the confidence interval suggests that p1 ______ p2.

Answer #1

Two different simple random samples are drawn from two different
populations. The first sample consists of 30 people with 15 having
a common attribute. The second sample consists of 1900 people with
1379 of them having the same common attribute. Compare the results
from a hypothesis test of p1=p2 (with a 0.01 significance level)
and a 99% confidence interval estimate of p1−p2.
Find hypothesis, test statistic, critical value, p value, and
95% CL.

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 1800 people with
1294 of them having the same common attribute. Compare the results
from a hypothesis test of p1= p2 (with a 0.05 significance level)
and a 95% confidence interval estimate of p1−p2.
Identify hypothesis, t statistic, critical value, p value

Two different simple random samples are drawn from two different
populations. The first sample consists of
2020
people with
1111
having a common attribute. The second sample consists of
22002200
people with
15801580
of them having the same common attribute. Compare the results
from a hypothesis test of
p 1p1equals=p 2p2
(with a
0.050.05
significancelevel) and a
9595%
confidence interval estimate of
p 1p1minus−p 2p2.

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

Independent random samples, each containing 70 observations,
were selected from two populations. The samples from populations 1
and 2 produced 42 and 35 successes, respectively. Test H0:(p1−p2)=0
H 0 : ( p 1 − p 2 ) = 0 against Ha:(p1−p2)≠0 H a : ( p 1 − p 2 ) ≠
0 . Use α=0.06 α = 0.06 . (a) The test statistic is (b) The P-value
is (c) The final conclusion is A. There is not sufficient evidence...

1 point) Independent random samples, each containing 80
observations, were selected from two populations. The samples from
populations 1 and 2 produced 30 and 23 successes,
respectively.
Test H0:(p1−p2)=0H0:(p1−p2)=0 against Ha:(p1−p2)≠0Ha:(p1−p2)≠0. Use
α=0.01α=0.01.
(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.

In a random sample of males, it was found that 21 write with
their left hands and 217 do not.
In a random sample of females, it was found that 63 write with
their left hands and 436 do not.
Use a 0.01 significance level to test the claim that the rate of
left-handedness among males is less than that among females.
Complete parts (a) through (c) below.
a.?Test the claim using a hypothesis test.
Consider the first sample to...

Independent random samples, each containing 90 observations,
were selected from two populations. The samples from populations 1
and 2 produced 73 and 64 successes, respectively.
Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.09
The P-value is
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

Independent random samples, each containing 70 observations,
were selected from two populations. The samples from populations 1
and 2 produced 33 and 23 successes, respectively. Test H 0 :( p 1 −
p 2 )=0 H0:(p1−p2)=0 against H a :( p 1 − p 2 )≠0 Ha:(p1−p2)≠0 .
Use α=0.01 α=0.01 . (a) The test statistic is
(b) The P-value is
(c) The final conclusion is
A. We can reject the null hypothesis that ( p 1 − p 2...

1) Independent random samples, each containing 90 observations,
were selected from two populations. The samples from populations 1
and 2 produced 21 and 14 successes, respectively.
Test H0:(p1?p2)=0 against
Ha:(p1?p2)?0. Use
?=0.07.
(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.
2)Two random samples are taken, one from among...

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