In a study of treatments for very painful "cluster" headaches,151patients were treated with oxygen and155other patients were given a placebo consisting of ordinary air. Among the151patients in the oxygen treatment group,123were free from headaches 15 minutes after treatment. Among the155patients given the placebo,25were free from headaches 15 minutes after treatment. Use a0.05significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. c. Based on the results, is the oxygen treatment effective?O A. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rates appear to be the same.O B. 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.O C. The results suggest that the oxygen treatment is effective in curing "cluster" headaches.O D. The results are inconclusive. In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 155 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 123 were free from headaches 15 minutes after treatment. Among the 155 patients given the placebo,25 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.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 = P2H1: P1 # P2O B. Ho: P1 + P2H1: P1 = P2OC. Ho: P1 = P2H1: P1 > P2O D. Ho: P1

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na study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 155 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group. 123 were free from headaches 15 minutes after treatme 25 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. . 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? OC. H P "P2 OA. H P"P2 H PP2 O B. Ha P P2 H P "P2 H P P2 OE. H P "P2 H P

na study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 155 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group. 123 were free from headaches 15 minutes after treatme 25 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. . 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? OC. H P "P2 OA. H P"P2 H PP2 O B. Ha P P2 H P "P2 H P P2 OE. H P "P2 H P

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

100%

In a study of treatments for very painful "cluster" headaches,

151

patients were treated with oxygen and

155

other patients were given a placebo consisting of ordinary air. Among the

151

patients in the oxygen treatment group,

123

were free from headaches 15 minutes after treatment. Among the

155

patients given the placebo,

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.

c. Based on the results, is the oxygen treatment effective?
O A. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rates appear to be the same.
O B. 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.
O C. The results suggest that the oxygen treatment is effective in curing "cluster" headaches.
O D. The results are inconclusive.

In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 155 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 123 were free from headaches 15 minutes after treatment. Among the 155 patients given the placebo,
25 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.
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 B. Ho: P1 + P2
H1: P1 = P2
OC. Ho: P1 = P2
H1: P1 > P2
O D. Ho: P1 <P2
H1: P1 P2
O E. Ho: P1 = P2
H1: P1 < P2
OF. Ho: P1 2 P2
H1: P1 # P2
Identify the test statistic
(Round to two decimal places as needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
V the significance level of a = 0.05, so
v the null hypothesis. There
V evidence to support the claim 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 90% confidence interval is< (P1 - P2) <U
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
0, it appears that the two cure rates are
V Because the confidence interval limits include
V values, it appears that the cure rate is
V for the oxygen treatment than for the placebo.

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