In a study of treatments for very painful "cluster" headaches, 150 patients were treated with oxygen and 141 other patients were given a placebo consisting of ordinary air. Among the 150 patients i the oxygen treatment group, 107 were free from headaches 15 minutes after treatment. Among the 141 patients given the placebo, 28 were free from headaches 15 minutes after treatment. Use a 0.05 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. D. Ho: P₁ = P₂ H₁: P₁ P2 Identify the test statistic. z= 8.80 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? OE. Ho: P₁ P₂ H₁: P₁ P₂ The P-value is less than the significance level of a = 0.05, so higher than the cure rate for those given a placebo. b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) OF. Ho: P1 P₂ H₁: P₁ P₂ reject the null hypothesis. There is sufficient evidence to support the claim that the cure rate with oxygen treatment is

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In a study of treatments for very painful "cluster" headaches, 150 patients were treated with oxygen and 141 other patients were given a placebo consisting of ordinary air. Among the 150 patients in
K the oxygen treatment group, 107 were free from headaches 15 minutes after treatment. Among the 141 patients given the placebo, 28 were free from headaches 15 minutes after treatment. Use a
0.05 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below.
@
2
View an example Get more help.
W
S
Identify the test statistic.
z = 8.80
(Round to two decimal places as needed.)
Identify the P-value.
#
F2
mand
D. Ho: P₁ = P₂
H₁: P₁ P₂
X
H
P-value = 0.000
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is less than the significance level of a = 0.05, so
higher than the cure rate for those given a placebo.
b. Test the claim by constructing an appropriate confidence interval.
The 90% confidence interval is < (P₁-P₂) <-
(Round to three decimal places as needed.)
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Transcribed Image Text:In a study of treatments for very painful "cluster" headaches, 150 patients were treated with oxygen and 141 other patients were given a placebo consisting of ordinary air. Among the 150 patients in K the oxygen treatment group, 107 were free from headaches 15 minutes after treatment. Among the 141 patients given the placebo, 28 were free from headaches 15 minutes after treatment. Use a 0.05 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. @ 2 View an example Get more help. W S Identify the test statistic. z = 8.80 (Round to two decimal places as needed.) Identify the P-value. # F2 mand D. Ho: P₁ = P₂ H₁: P₁ P₂ X H P-value = 0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is less than the significance level of a = 0.05, so higher than the cure rate for those given a placebo. b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is < (P₁-P₂) <- (Round to three decimal places as needed.) # 3 80 1 F3 E D C - $ 4 11 9 F4 R F V 5 SP T G #tv 6 B OE. Ho: P₁ SP₂ H₁: P₁ P₂ MacBook Air & FA reject the null hypothesis. There is sufficient evidence to support the claim that the cure rate with oxygen treatment is Y H & 7 SZA N 8 F? U J 8 M DII FB I K ( 9 V. < I DD F9 O L ) O OF. Ho: P₁ P2 H₁: P₁ P₂ command 4 F10 P ^. ✓ : .... - option Clear all 4 F11 { [ ? + = 11 200m Check answer 4) F12 } ] delete 1 return shi drew
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