What is the conclusion based on the hypothesis test?The P-value isthe significance level of a = 0.01, so| the null hypothesis. Theresufficient evidence to support the claimthat echinacea treatment has an effect.b. Test the claim by constructing an appropriate confidence interval.The 99% confidence interval is < (P1 - P2) Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 42 of the 48 subjects treated with echinacea developed rhinovirusinfections. 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 effecton rhinovirus infections. Complete parts (a) through (c) below.

State the hypotheses. Let p1 denotes the population proportion of the subjects treated with Echinacea developed rhinovirus infections. Let p1 denotes the population proportion of the subjects treated with placebo group developed rhinovirus infections. That is, there is no evidence to conclude that Echinacea has an effect on rhinovirus infections. That is, there is evidence to conclude that Echinacea has an effect on rhinovirus infections. Obtain the value of the test statistic. The value of test statistic is obtained below: The value of sample proportion1, Thus, the value of test statistic is 0.36. Obtain the P-value. Use Excel to obtain the probability value for Z=0.36 Follow the instruction to obtain the P-value: Open EXCEL Go to Formula bar. In formula bar enter the function as“=NORMSDIST” Enter the test statistic Z as 0.36. Click enter EXCEL output: From the Excel output, the P-value is 0.6406 The P-value in right tail is 0.3594(=1–0.6406) The P-value in two tail is 0.7188(=2*0.3594) Thus, the P-value is 0.7188. The conclusion is obtained as shown below: Use the level of significance is 0.01. The p-value is greater than level of significance. By rejection rule, do not reject the null hypothesis. That is, there is no evidence to conclude that Echinacea has an effect on rhinovirus infections. The P-value is greater than the significance level of α=0.01, so fail to reject the null hypothesis. There is no sufficient evidence to support the claim that the Echinacea treatment has an effect. b. Obtain the 99% confidence interval for the difference between the two population proportions. The 99% confidence interval for the difference between the two proportions is obtained below: The formula for the confidence interval is, Use EXCEL Procedure for finding the critical value of z. Follow the instruction to obtain the critical value of z: Open EXCEL Go to Formula bar. In formula bar enter the function as“=NORMINV” Enter the probability as 0.995 Enter the mean as 0 and the Standard deviation as 1. Click enter EXCEL output: From the EXCEL output, the critical value of z at the 99% confidence level is 2.576. The required confidence interval is, Thus, the 99% confidence interval for the difference between the two proportions lies between –0.129 and 0.173 Because the confidence interval limits contains 0, there it do not appear to be a significant difference between the two proportions. There is no evidence to support the claim that Echinacea treatment has an effect. (c ) Determine whether the Echinacea appears to have any effect on the infection rate or not. Since, the confidence interval contains 0, it can be concluded that Echinacea does not appear to have a significant effect on the infection rate. Correct option: Option C

Math

Statistics

What is the conclusion based on the hypothesis test? The P-value is | the significance level of a = 0.01, so the null hypothesis. There 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 O< (P1 - P2)

What is the conclusion based on the hypothesis test? The P-value is | the significance level of a = 0.01, so the null hypothesis. There 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 O< (P1 - P2)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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