In a study of treatments for very painful "cluster" headaches, 140 patients were treated with oxygen and 143 other patients were given a placebo consisting of ordinary air. Among the 140 patients in the oxygen treatment group, 122 were free from headaches 15 minutes after treatment. Among the 143 patients given the placebo, 24 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of patients treated with oxygen and the second sample to be the sample of patients given a placebo. 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. Z= (Round to two decimal places as needed.) Identify the P-value. OB. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Because the confidence interval limits Ho: P₁ = P2 H₁: P₁ P2 OE. Ho: P₁ P2 H₁: P1 P2 The P-value is the significance level of a = 0.01, so that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is < (P₁-P₂) <- (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? 0, it appears that the two cure rates are values, it appears that the cure rate is OC. Ho: P₁ H₁: P₁ OF. Ho: P1 H₁: P₁ the null hypothesis. There P2 P2 for the oxygen treatment than for the placebo. P2 P2 evidence to support the claim Because the confidence interval limits include

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7
O D. Ho: P₁ SP2
H₁: P₁ P2
Identify the test statistic.
Z=
(Round to two decimal places as needed.)
Identify the P-value.
OE. Ho: P1
H₁: P₁
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Because the confidence interval limits
P2
P2
The P-value is
the significance level of a = 0.01, so
that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo.
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
RELERD
values, it appears that the cure rate is
c. Based on the results, is the oxygen treatment effective?
0, it appears that the two cure rates are
OF. Ho: P1 P2
H₁: P₁
P2
the null hypothesis. There
evidence to support the claim
Because the confidence interval limits include
for the oxygen treatment than for the placebo.
OA. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rate for the oxygen treatment appears
to be lower than that of the placebo.
OB. The results suggest that the oxygen treatment is effective in curing "cluster" headaches.
OC. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rates appear to be the same.
OD. The results are inconclusive.
Transcribed Image Text:O D. Ho: P₁ SP2 H₁: P₁ P2 Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. OE. Ho: P1 H₁: P₁ P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Because the confidence interval limits P2 P2 The P-value is the significance level of a = 0.01, so that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? RELERD values, it appears that the cure rate is c. Based on the results, is the oxygen treatment effective? 0, it appears that the two cure rates are OF. Ho: P1 P2 H₁: P₁ P2 the null hypothesis. There evidence to support the claim Because the confidence interval limits include for the oxygen treatment than for the placebo. OA. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rate for the oxygen treatment appears to be lower than that of the placebo. OB. The results suggest that the oxygen treatment is effective in curing "cluster" headaches. OC. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rates appear to be the same. OD. The results are inconclusive.
In a study of treatments for very painful "cluster" headaches, 140 patients were treated with oxygen and 143 other patients were given a placebo consisting
of ordinary air. Among the 140 patients in the oxygen treatment group, 122 were free from headaches 15 minutes after treatment. Among the 143 patients
given the placebo, 24 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is
effective. Complete parts (a) through (c) below.
a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of patients treated with oxygen and the second sample to be the sample of patients given a placebo. What are the
null and alternative hypotheses for the hypothesis test?
OA. Ho: P₁ = P2
H₁: P₁
P2
O D. Ho: P1
P2
H₁: P₁ P2
Identify the test statistic.
Z=
(Round to two decimal places as needed.)
Identify the P-value.
OB. Ho: P₁ P2
H₁: P₁ P2
OE. Ho: P1 P2
H₁: P₁ P2
P-value=
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Because the confidence interval limits
The P-value is
the significance level of a = 0.01, so
that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo.
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
0, it appears that the two cure rates are
values, it appears that the cure rate is
OC. Ho: P₁
H₁: P₁
OF. Ho: P1
the null hypothesis. There
P2
P₂
P2
H₁: P₁ P2
for the oxygen treatment than for the placebo.
evidence to support the claim
Because the confidence interval limits include
Chec
Che
untitle
Transcribed Image Text:In a study of treatments for very painful "cluster" headaches, 140 patients were treated with oxygen and 143 other patients were given a placebo consisting of ordinary air. Among the 140 patients in the oxygen treatment group, 122 were free from headaches 15 minutes after treatment. Among the 143 patients given the placebo, 24 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of patients treated with oxygen and the second sample to be the sample of patients given a placebo. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ = P2 H₁: P₁ P2 O D. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. OB. Ho: P₁ P2 H₁: P₁ P2 OE. Ho: P1 P2 H₁: P₁ P2 P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Because the confidence interval limits The P-value is the significance level of a = 0.01, so that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? 0, it appears that the two cure rates are values, it appears that the cure rate is OC. Ho: P₁ H₁: P₁ OF. Ho: P1 the null hypothesis. There P2 P₂ P2 H₁: P₁ P2 for the oxygen treatment than for the placebo. evidence to support the claim Because the confidence interval limits include Chec Che untitle
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