Question

In: Statistics and Probability

Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 36 of...

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, 95 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) Conduct an appropriate Hypothesis Test using  = 0.01 level of significance to determine if echinacea has an effect on rhinovirus infections. Include a conclusion that is in terms of the problem. 1. (2 pts.) State the Hypothesis: ?0: ?1:

2. (1 pt.) Determine the P-value.

3. (3 pts.) State your decision.

4. (4 pts.) State your conclusion in terms of the problem scenario. b)

Construct a 95% confidence interval to test the claim. Does the confidence interval agree with the conclusion of the hypothesis test? (You only need to include the confidence interval obtained from STATCrunch or Calculator) Explain your answer.

Solutions

Expert Solution



Related Solutions

Rhino viruses typically cause common colds. In a test of the effectiveness of? echinacea, 46 of...
Rhino viruses typically cause common colds. In a test of the effectiveness of? echinacea, 46 of the 51subjects treated with echinacea developed rhinovirus infections. In a placebo? group, 84 of the 98 subjects developed rhinovirus infections. Use a 0.05 significance level to test the claim that echinacea has an effect on rhinovirus infections. 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....
Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 37 of...
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, 84 of the 99 subjects developed rhinovirus infections. Use a 0.05 significance level to test the claim that echinacea has an effect on rhinovirus infections.
Rhino viruses typically cause common colds. In a test of the effectiveness of? echinacea, 31 of...
Rhino viruses typically cause common colds. In a test of the effectiveness of? echinacea, 31 of the 38 subjects treated with echinacea developed rhinovirus infections. In a placebo? group, 93 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. 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, 33 of...
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, 76 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...
Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 43 of...
Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 43 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group, 79 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. Test the claim using a hypothesis test. find test stat find p value find conclusion based on hypothesis test Based on the​ results, does echinacea appear...
Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 35 of...
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, 76 of the 92 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, 45 of...
Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 45 of the 52 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group, 81 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.
Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 34 of...
Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 34 of the 41 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group, 94 of the 107 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, 42 of...
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, 88 of the 105. 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. Test the claim using a hypothesis test. Upper H 0H0​: Identify the test statistic. zequals=nothing ​(Round to two decimal places...
Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 4040 of...
Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 4040 of the 4545 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group, 7777 of the 9292 subjects developed rhinovirus infections. Use a 0.010.01 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...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT