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 CE 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

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?
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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
**P1-P2
VP1 P2
VM-P2
H₁: P₁ P₂
H₁: P₁ P2
H₁: 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?
evidence to conclude that p₁ # P2.
The test statistic is
the critical region, so
the null hypothesis. There is
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
P2-
since the hypothesis test suggests that p₁
Next
P2, and the confidence interval suggests that p₁
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 **P1-P2 VP1 P2 VM-P2 H₁: P₁ P₂ H₁: P₁ P2 H₁: 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? evidence to conclude that p₁ # P2. The test statistic is the critical region, so the null hypothesis. There is 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 P2- since the hypothesis test suggests that p₁ Next P2, and the confidence interval suggests that p₁
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?
OC. Ho P1 P2
OA. Ho P₁ P₂
OB. Ho: P₁
P2
H₁: P₁ P2
H₁: P₁ P₂
H₁: P1 = P2
OD. Ho: P1 P2
OE. Ho: P1
P2
OF. Ho P12 P2
H₁: P₁ P₂
H₁ P₁
H₁ P₁ P₂
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 null hypothesis. There is
The 95% confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed)
What is the conclusion based on the confidence interval?
Next
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? OC. Ho P1 P2 OA. Ho P₁ P₂ OB. Ho: P₁ P2 H₁: P₁ P2 H₁: P₁ P₂ H₁: P1 = P2 OD. Ho: P1 P2 OE. Ho: P1 P2 OF. Ho P12 P2 H₁: P₁ P₂ H₁ P₁ H₁ P₁ P₂ 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 null hypothesis. There is The 95% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed) What is the conclusion based on the confidence interval? Next evidence to conclude that p₁ #P₂.
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