Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 15 having a common bure. The 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? OB. Ho P₁ P2 OA. Ho P₁ P₂ H₁ P₁ P21 H₁ P₁ P2 OE. Ho P1 P2 OD. Ho P1 P2 H₁ P₁ P2 H₁ P₁ P₂ Identify the test statistic. (Round to two decimal places as needed) Identify the critical value(s) 0 (Round to three decimal places as needed. Use a comma to separate answers as needed) OC. Ho P1 P2 H₁ P₁ P2 OF. Ho P1 P2 H₁ P₁ P₂

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
icon
Related questions
Question
100%

Please help especially with the last part. Also, is the test statistic -2.56 or -2.36 ? Please help. Thanks 

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 2200 people with 1570 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?
OA. Ho P₁ P₂
OB. Ho P₁ P₂
OC. Ho P₁ P₂
H₁ P₁ P2
H₁ P₁ P2
H₁ P₁
P2
OD. Ho P1 P2
OE. Ho P1 P₂
OF. Ho P1 P2
H₁ P₁ P₂
H₁ P₁ P₂
H₁ P₁ P2
Identify the test statistic
0
(Round to two decimal places as needed)
Identify the critical value(s)
☐
(Round to three decimal places as needed. Use a comma
What is the conclusion based on the hypothesis test?
The test statistic is t
the critical region, so
The 95% confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed)
What is the conclusion based on the confidence interval?
Next
separate answers as needed)
the null hypothesis There is
evidence to conclude that p₁ #p₂
Transcribed Image Text: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 2200 people with 1570 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? OA. Ho P₁ P₂ OB. Ho P₁ P₂ OC. Ho P₁ P₂ H₁ P₁ P2 H₁ P₁ P2 H₁ P₁ P2 OD. Ho P1 P2 OE. Ho P1 P₂ OF. Ho P1 P2 H₁ P₁ P₂ H₁ P₁ P₂ H₁ P₁ P2 Identify the test statistic 0 (Round to two decimal places as needed) Identify the critical value(s) ☐ (Round to three decimal places as needed. Use a comma What is the conclusion based on the hypothesis test? The test statistic is t the critical region, so The 95% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed) What is the conclusion based on the confidence interval? Next separate answers as needed) the null hypothesis There is evidence to conclude that p₁ #p₂
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 2200 people with 1570 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
15
UP1-P2
-P2
UP1 P2
H₁ P₁ P₂
H₁ P₁ P₂
H₁ P₁ P₂
Identify the test statistic.
0
(Round to two decimal places as needed)
Identify the critical value(s)
0
(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 null hypothesis. There is
evidence to conclude that p, #P₂
The 95% confidence interval is
(P₁-P₂) <
(Round to three decimal places as needed)
What is the conclusion based on the confidence interval?
the null hypothesis
Since 0 is
in the interval, it indicates to
How do the results from the hypothesis test and the confidence interval compare?
The results are
since the hypothesis test suggests that p₁P₂, and the confidence interval suggests that p, P₂
Next
Transcribed Image Text: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 2200 people with 1570 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 15 UP1-P2 -P2 UP1 P2 H₁ P₁ P₂ H₁ P₁ P₂ H₁ P₁ P₂ Identify the test statistic. 0 (Round to two decimal places as needed) Identify the critical value(s) 0 (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 null hypothesis. There is evidence to conclude that p, #P₂ The 95% confidence interval is (P₁-P₂) < (Round to three decimal places as needed) What is the conclusion based on the confidence interval? the null hypothesis Since 0 is in the interval, it indicates to How do the results from the hypothesis test and the confidence interval compare? The results are since the hypothesis test suggests that p₁P₂, and the confidence interval suggests that p, P₂ Next
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL