Question

Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 36 of the 41 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 96 of the 113 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0: p 1equalsp 2 Upper H 1: p 1not equalsp 2 B. Upper H 0: p 1equalsp 2 Upper H 1: p 1less thanp 2 C. Upper H 0: p 1not equalsp 2 Upper H 1: p 1equalsp 2 D. Upper H 0: p 1equalsp 2 Upper H 1: p 1greater thanp 2 E. Upper H 0: p 1greater than or equalsp 2 Upper H 1: p 1not equalsp 2 F. Upper H 0: p 1less than or equalsp 2 Upper H 1: p 1not equalsp 2 Identify the test statistic. zequals nothing (Round to two decimal places as needed.) Identify the P-value. P-valueequals nothing (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is ▼ greater than less than the significance level of alphaequals0.01, so ▼ reject fail to reject the null hypothesis. There ▼ is is not sufficient evidence to support the claim that echinacea treatment has an effect. b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is nothingless thanleft parenthesis p 1 minus p 2 right parenthesisless than nothing. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits ▼ include do not include 0, there ▼ does does not appear to be a significant difference between the two proportions. There ▼ is not is evidence to support the claim that echinacea treatment has an effect. c. Based on the results, does echinacea appear to have any effect on the infection rate? A. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate. B. Echinacea does not appear to have a significant effect on the infection rate. C. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate. D. The results are inconclusive. Click to select your answer(s).

Answer #1

Rhino viruses typically cause common colds. In a test of the
effectiveness of echinacea,
4343
of the
4848
subjects treated with echinacea developed rhinovirus infections.
In a placebo group,
8181
of the
9898
subjects developed rhinovirus infections. Use a
0.050.05
significance level to test the claim that echinacea has an
effect on rhinovirus infections. Complete parts (a) through (c)
below.
a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of subjects treated
with...

Rhinoviruses typically cause common colds. In a test of the
effectiveness of echinacea, 35 of the 40 subjects treated with
echinacea developed rhinovirus infections. In a placebo group, 83
of the 96 subjects developed rhinovirus infections. Use a 0.05
significance level to test the claim that echinacea has an effect
on rhinovirus infections.
A. Test the claim using a hypothesis test. Consider the
first sample to be the sample of subjects treated with echinacea
and the second sample to be...

Rhino viruses typically cause common colds. In a test of the
effectiveness of echinacea, 36 of the 43 subjects treated with
echinacea developed rhinovirus infections. In a placebo group, 96
of the 109 subjects developed rhinovirus infections. Use a 0.01
significance level to test the claim that echinacea has an effect
on rhinovirus infections. Complete parts (a) through (c)
below.
a. Test the claim using a hypothesis test.
b. Identify the test statistic
c. P-value
d. Confidence interval

Rhino viruses typically cause common colds. In a test of the
effectiveness of echinacea,
44 of the 51 subjects treated with echinacea developed
rhinovirus infections. In a placebo group,
95 of the 112 subjects developed rhinovirus infections. Use a
0.01 significance level to test the claim that echinacea has an
effect on rhinovirus infections.
a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of subjects treated
with echinacea and the second sample to...

Rhino viruses typically cause common colds. In a test of the
effectiveness of echinacea, 35 of the 42 subjects treated with
echinacea developed rhinovirus infections. In a placebo group, 80
of the 93 subjects developed rhinovirus infections. Use a 0.05
significance level to test the claim that echinacea has an effect
on rhinovirus infections. What are the null and alternative
hypotheses for the hypothesistest? identify the test statistic and
p-value

Rhino viruses typically cause common colds. In a test of the
effectiveness of echinacea, 46 of the 51 subjects treated with
echinacea developed rhinovirus infections. In a placebo group, 84
of the 101 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.
a. Test the claim using a hypothesis test. Consider the first
sample to be the sample of subjects treated with...

Rhino viruses typically cause common colds. In a test of the
effectiveness of echinacea, 33 of the 40 subjects treated with
echinacea developed rhinovirus infections. In a placebo group, 84
of the 98 subjects developed rhinovirus infections. Use a 0.01
significance level to test the claim that echinacea has an effect
on rhinovirus infections. Complete parts (a) through (c) below.
a. Test the claim using a hypothesis test. Consider the first
sample to be the sample of subjects treated with...

Rhino viruses typically cause common colds. In a test of the
effectiveness of echinacea, 44 of the 50 subjects treated with
echinacea developed rhinovirus infections. In a placebo group, 74
of the 90 subjects developed rhinovirus infections. Use a 0.01
significance level to test the claim that echinacea has an effect
on rhinovirus infections.
Complete parts (a) through (c) below.
a. Test the claim using a hypothesis test. Consider the first
sample to be the sample of subjects treated with...

2.
Rhino viruses typically cause common colds. In a test of the
effectiveness of echinacea, 35 of the 40 subjects treated with
echinacea developed rhinovirus infections. In a placebo group, 90
of the 107 subjects developed rhinovirus infections. Use a 0.05
significance level to test the claim that echinacea has an effect
on rhinovirus infections. ldentify the test statistic and the
P-Value. Test the claim by constructing an appropriate confidence
interval.(95%)

Rhino viruses typically cause common colds. In a test of the
effectiveness of echinacea, 37 of the 42 subjects treated with
echinacea developed rhinovirus infections. In a placebo group, 98
of the 113 subjects developed rhinovirus infections. Use a 0.01
significance level to test the claim that echinacea has an effect
on rhinovirus infections. Find the test statistic Z to two or more
decimal places and the P-value to three or more places.

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