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 1800 people with 1302 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 are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ #P₂ H₁: P₁ = P₂ O D. Ho: P₁ H₁: P₁ Identify the test statistic. P₂ P₂ (Round to two decimal places as needed.) Identify the critical value(s). The test statistic is (1). conclude that p₁ #P₂. (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 results are (6). that p₁ (8). (1) O in not in OB. Ho: P₁ P₂ H₁: P₁ P₂ The 99% confidence interval is (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? OE. Ho: P₁ = P₂ H₁: P₁ P₂ (2) the critical region, so (2). Since 0 is (4). in the interval, it indicates to (5). How do the results from the hypothesis test and the confidence interval compare? , since the hypothesis test suggests that p₁ (7). reject fail to reject |< (P₁-P₂) <[ (3) OC. Ho: P₁ = P₂ H₁: P₁ P₂ the null hypothesis. There is (3) OF. Ho: P₁ = P₂ H₁: P₁ P₂ the null hypothesis. insufficient (4) O not included sufficient included evidence to -P2, and the confidence interval suggests (5) O fail to reject (6) O reject different the same

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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 1800 people with 1302 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.

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 1800 people with 1302 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 are the null and alternative hypotheses for the hypothesis test?
O A. Ho: P₁ P₂
H₁: P₁ = P₂
O D. Ho: P₁ P₂
H₁: P₁ P₂
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the critical value(s).
The test statistic is (1).
conclude that p₁ #P₂.
(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 results are (6).
that P₁ (8)
(1) O in
3
The 99% confidence interval is
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
0000
not in
OB. Ho: P₁²P₂
H₁: P₁ #P₂
Since 0 is (4)_
in the interval, it indicates to (5).
How do the results from the hypothesis test and the confidence interval compare?
NAWII
OE. Ho: P₁ = P₂
H₁: P₁ P₂
(2)
the critical region, so (2)
|< (P₁-P₂) <|
O reject
fail to reject
the null hypothesis. There is (3)
-, since the hypothesis test suggests that p₁ (7).
OC. Ho: P₁ = P₂
H₁: P₁ #P₂
the null hypothesis.
OF. Ho: P₁ = P₂
H₁: P₁ P₂
insufficient (4) O not included
sufficient
O included
evidence to
-P₂, and the confidence interval suggests
fail to reject
O reject
different
the same
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 1800 people with 1302 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 are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ P₂ H₁: P₁ = P₂ O D. Ho: P₁ P₂ H₁: P₁ P₂ Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value(s). The test statistic is (1). conclude that p₁ #P₂. (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 results are (6). that P₁ (8) (1) O in 3 The 99% confidence interval is (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? 0000 not in OB. Ho: P₁²P₂ H₁: P₁ #P₂ Since 0 is (4)_ in the interval, it indicates to (5). How do the results from the hypothesis test and the confidence interval compare? NAWII OE. Ho: P₁ = P₂ H₁: P₁ P₂ (2) the critical region, so (2) |< (P₁-P₂) <| O reject fail to reject the null hypothesis. There is (3) -, since the hypothesis test suggests that p₁ (7). OC. Ho: P₁ = P₂ H₁: P₁ #P₂ the null hypothesis. OF. Ho: P₁ = P₂ H₁: P₁ P₂ insufficient (4) O not included sufficient O included evidence to -P₂, and the confidence interval suggests fail to reject O reject different the same
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