Question

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.

Answer #1

Using TI 84 calculator

press stat then tests then 1-propZTest

x1 = 11, n1 = 20

x2 = 1580, n2 = 2200

p1 not equals to p2

press **ENTER**

test statistic =-1.66

p value = 0.0966

**Confidence interval result**

Using TI 84 calculator

press stat then tests then 1-propZInt

x1 = 11, n1 = 20

x2 = 1580, n2 = 2200

c-level = 0.95

press **ENTER**

**-0.387<p1-p2< 0.051**

We can see that p value is greater than significance level of 0.05, shows that there is no significant difference between proportions

Confidence interval includes negative and positive values, means that the confidence interval includes 0. So, confidence interval also suggets that there is no difference between proportions

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 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 20 people with 11 having
a common attribute. The second sample consists of 1800 people with
1283 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
What are the null and alternative hypotheses for the
hypothesis test?
Identify the test statistic.(Round...

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 2100 people with
1477 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 What are the
null and alternative hypotheses for the hypothesis test. Identify
the test statistic.(Round...

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...

The numbers of successes and the sample sizes for independent
simple random samples from two populations are x 1equals32, n
1equals40, x 2equals10, n 2equals20. a. Use the two-proportions
plus-four z-interval procedure to find an 95% confidence interval
for the difference between the two populations proportions. b.
Compare your result with the result of a two-proportion
z-interval procedure, if finding such a confidence interval is
appropriate.

Choose a quantitative variable. Measure it on two different
samples of 10, drawn from two different populations. For example,
you might measure the number of cups of chocolate consumed daily by
men vs women. Provide a description of the data selected, and the
two different populations you chose. Record the data, and for EACH
sample, find the mean and standard deviation and the five-number
summary. Compare your two samples using boxplots or histograms.
Summarize your results in a paragraph, including...

The following observations are from two independent random
samples, drawn from normally distributed populations.
Sample 1 [61.43, 78.97, 61.63, 70.48, 66.46, 66.82]
Sample 2 [68.41, 67.18, 65.01, 66.88, 64.06]
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.

The following observations are from two independent random
samples, drawn from normally distributed populations.
Sample 1 [59.79, 79.13, 61.82, 55.15, 73.43, 56.37]
Sample 2 [66.05, 66.93, 60.02, 64.24, 60.1]
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.

Assume that both samples are independent simple random
samples from populations having normal distributions.
4) A researcher obtained independent random samples of men from two
different towns. She recorded the weights
of the men. The results are summarized below:
Town A Town B
n1= 41 n 2 = 21
x1 = 165.1 lb x2 = 159.5 lb
s1 = 34.4 lb s2 = 28.6 lb
Use a 0.05 significance level to test the claim that there is more
variance in...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 9 minutes ago

asked 24 minutes ago

asked 24 minutes ago

asked 41 minutes ago

asked 41 minutes ago

asked 43 minutes ago

asked 48 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago