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 aplacebo group, 88 of the 102 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirusinfections.(a) Test a claim using a hypothesis test.Ho:P1 = P2H1:Answer : A for Pi < P2; answer: B for p1 > P2 ; or answer: C for p1 # P2Identify the test statistic.z =(Round to two decimal places as needed.)Identify the P-value.p-valueConclusion: since p-value isthe significance level of a = 0.01, so( fail to reject or reject)(b) Test claim by constructing an appropriate confidence interval< P1 - P2 <(Round to three decimal places.)

Answered: Rhino viruses typically cause common…

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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Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 40 of the 46 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 87 of the 104 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. 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. H0: p1≥p2 H1: p1≠p2 B. H0: p1=p2 H1: p1≠p2 C. H0: p1≠p2 H1: p1=p2 D. H0: p1=p2 H1: p1<p2 E. H0: p1=p2 H1: p1>p2 F. H0: p1≤p2 H1: p1≠ Identify the test statistic. Z = (Round to two decimal places as needed.) P-value= The P-value is (Less than/ greater than) the significance level of α=0.05,…
According to a Pew Research Center study, in May 2011, 33% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students. She selects 320 community college students at random and finds that 135 of them have a smart phone. In testing the hypotheses: Ho: p = 0.33 versus Ha: p > 0.33 Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for #3 and #4. 1. This is an example of a hypothesis test. 2. Find the standard error. 3. Find the z value. 4. Find the p-value. 5. The communication professor should the null hypothesis.
A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 118 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. ..... What type of variable is "drive an American-made automobile, or not"? A. Qualitative with two possible outcomes B. Discrete C. Continuous…
In a randomized clinical trial, 888 people were placed given Drug A and 930 were given Drug B. The researcher's goals were to determine which drug had better efficacy against T.B. Of those who were given Drug A, 300 contracted T.B. Of the subjects who were given Drug B, 500 contracted T.B. Calculate and interpret the risk ratio of Drug B compared to Drug A for getting T.B.? 10. In Box City, an influenza vaccine was tested on 1,000 people, 400 males and 600 females. Of the males, 50% contracted influenza after vaccination versus 30% of the females. Calculate and interpret the risk ratio of females compared to males of contracting influenza. 11.
Migraine and Acupuncture: A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 161 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 65 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 96 patients in the control group received placebo acupuncture (needle insertion at non-acupoint locations). 24 hours after patients received acupuncture, they were asked if they were pain free. Results are summarized in the contingency table below. Test to see if migraine pain relief is dependent on receiving acupuncture. Use αα = 0.05. Pain Free: Yes Pain Free: No Total Treatment 13 52 65 Control 5 91 96 Total 18 143 161 b) Fill in the expected values, round answers to at least 4 decimal places.…
State the Result: A hypothesis test was conducted at the alpha = 0.01 level of significance. The test resulted in a p-value of 0.044.
High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 men in the placebo group had heart attacks. Is the apparent benefit of gemfibrozil statistically significant? Using proportion values rounded to four decimal places, what is the z- test statistic? Round your answer to two decimal places.
According to a Pew Research Center study, in May 2011, 33% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students. She selects 323 community college students at random and finds that 134 of them have a smart phone. In testing the hypotheses: Ho: p= 0.33 versus Ha: p > 0.33 Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for # 3 and #4. 1. I 4. Find the p-value.-- 5. The communication professor should the null hypothesis.
A researchers is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin: n=6, M=14, T=84, SS=60 Valerian: n=10, M=13, T=130, SS=90 Placebo: n=4, M=9, T=36, SS=37 N=20, G=250, x2=3377 a.Using symbols, state the hypotheses for a two-tailed test with α=0.05.
A researchers is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin: n=6, M=14, T=84, SS=60 Valerian: n=10, M=13, T=130, SS=90 Placebo: n=4, M=9, T=36, SS=37 N=20, G=250, x2=3377 Calculate the F-ratio
A researcher, working for a large pharmaceutical company, is interested in testing the claim that less than 24% of people who take a new sinus medication receive symptom relief in less than 15 minutes. To test this claim, the researcher collects the following data on a sample of 500 adults and 110 of them receive symptom relief in less than 15 minutes after taking the medication. The following is the data from this study: Sample size =500 adults The alternative hypothesis is Ha:p<0.24 The test statistic is calculated as z0=−1.05. Find and interpret the p− value for this hypothesis test. Use the curve below to help visualize your answer. Select the appropriate test by dragging the blue point to a right-, left- or two-tailed diagram, then set the test statistic on the x-axis to find the p-value. Based on the p-value, choose the correct interpretation. Move the blue dot to choose the appropriate test
Migraine and Acupuncture: A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 152 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 64 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 88 patients in the control group received placebo acupuncture (needle insertion at non-acupoint locations). 24 hours after patients received acupuncture, they were asked if they were pain free. Results are summarized in the contingency table below. Test to see if migraine pain relief is dependent on receiving acupuncture. Use α = 0.1. Pain Free: Yes Pain Free: No Total Treatment 16 48 64 Control 6 82 88 Total 22 130 152 b) Fill in the expected values, round answers to at least 2 decimal places. Expected…

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