Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 42 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 95 of the 109 subjects developed rhinovirus infections. Use a 0.05 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. UA. Ho: P1 sP2 UB. Ho: P1 =P2 H:P1 > P2 CO. Ho: P1 = P2 H1: P1 #P2 H1: P1 +P2 OD. Ho: P1 2 P2 H1: P1 *P2 O E. Ho: P1 = P2 H4: P,
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 42 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 95 of the 109 subjects developed rhinovirus infections. Use a 0.05 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. UA. Ho: P1 sP2 UB. Ho: P1 =P2 H:P1 > P2 CO. Ho: P1 = P2 H1: P1 #P2 H1: P1 +P2 OD. Ho: P1 2 P2 H1: P1 *P2 O E. Ho: P1 = P2 H4: P,
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Transcribed Image Text:Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 42 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 95 of the 109 subjects
developed rhinovirus infections. Use a 0.05 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below.
UA. Ho: P1 sP2
H1: P, # P2
U B. Ho:P1 = P2
H;:P1 > P2
CC. Ho: P1 =P2
O D. Ho: P1 2 P2
H1: P, #P2
H1: P, # P2
OF. Ho: P1 #P2
H: P1 = P2
O E. Ho: P1 = 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 sufficient evidence to support the claim that echinacea treatment has an effect.
b. Test the claim by constructing an appropriate confidence interval.
The 95% confidence interval is < (P1 - P2) <O-
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
0, there
V appear to be a significant difference between the two proportions. There
V evidence to support the claim that echinacea treatment has
Because the confidence interval limits
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