second sample consists of 1900 people with 1353 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.
second sample consists of 1900 people with 1353 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
Related questions
Question
![list
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K
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 1900 people with 1353 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.
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the critical value(s).
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion based on the hypothesis test?
The test statistic is
the critical region, so
The 99% confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed.)
the null hypothesis. There is
evidence to conclude that p₁ #P₂](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38d7ad60-cd84-472c-8996-4a82bb3a3198%2Fec934fe0-3edc-404e-b7db-cda9c1e602eb%2Fhqxha4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:list
8
9
10
11
12
K
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 1900 people with 1353 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.
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the critical value(s).
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion based on the hypothesis test?
The test statistic is
the critical region, so
The 99% confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed.)
the null hypothesis. There is
evidence to conclude that p₁ #P₂
![K
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 1900 people with 1353 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-
What is the conclusion based on the hypothesis test?
The test statistic is
the critical region, so
The 99% confidence interval is
< (P₁-P₂) <
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Since 0 is
the null hypothesis.
How do the results from the hypothesis test and the confidence interval compare?
The results are
since the hypothesis test suggests that p₁
the null hypothesis. There is
in the interval, it indicates to
evidence to conclude that p₁ # P₂.
P₂, and the confidence interval suggests that p₁
VP2-
D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38d7ad60-cd84-472c-8996-4a82bb3a3198%2Fec934fe0-3edc-404e-b7db-cda9c1e602eb%2Fc2abghc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:K
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 1900 people with 1353 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-
What is the conclusion based on the hypothesis test?
The test statistic is
the critical region, so
The 99% confidence interval is
< (P₁-P₂) <
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Since 0 is
the null hypothesis.
How do the results from the hypothesis test and the confidence interval compare?
The results are
since the hypothesis test suggests that p₁
the null hypothesis. There is
in the interval, it indicates to
evidence to conclude that p₁ # P₂.
P₂, and the confidence interval suggests that p₁
VP2-
D
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