In a study of treatments for very painful "cluster" headaches, 158 patients were treated with oxygen and 142 other patients were given a placebo consisting of ordinary air. Among the 158 patients in the oxygen treatment group, 123 were free from headaches 15 minutes after treatment. Among the 142 patients given the placebo, 29 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. Identify the P-value. 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 reject the significance level of a=0.01, so the null hypothesis. There 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 0.452 < (P1-P2) <0.696 (Round to three decimal places as needed.) is sufficient evidence to support the claim that

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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In a study of treatments for very painful "cluster" headaches, 158 patients were treated with oxygen and 142 other patients were given a placebo consisting of
ordinary air. Among the 158 patients in the oxygen treatment group, 123 were free from headaches 15 minutes after treatment. Among the 142 patients given the
placebo, 29 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.
Identify the P-value.
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
reject
the significance level of α=0.01, so
the null hypothesis. There
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 0.452 (P₁-P2) <0.696
(Round to three decimal places as needed.)
is sufficient
evidence to support the claim that
Transcribed Image Text:In a study of treatments for very painful "cluster" headaches, 158 patients were treated with oxygen and 142 other patients were given a placebo consisting of ordinary air. Among the 158 patients in the oxygen treatment group, 123 were free from headaches 15 minutes after treatment. Among the 142 patients given the placebo, 29 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. Identify the P-value. 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 reject the significance level of α=0.01, so the null hypothesis. There 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 0.452 (P₁-P2) <0.696 (Round to three decimal places as needed.) is sufficient evidence to support the claim that
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