### Testing the Effectiveness of Echinacea on Rhinovirus Infections**Overview:**Rhinoviruses typically cause common colds. This exercise involves a hypothesis test to determine the effectiveness of echinacea in preventing rhinovirus infections. In an experiment, 37 out of 43 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 89 out of 106 subjects developed rhinovirus infections. A significance level of 0.01 is used to test the claim that echinacea affects rhinovirus infections. Complete parts (a) through (c) below.---### Part (a): Hypothesis Test**Question:**Test the claim using a hypothesis test.**Instructions:**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.**Null and Alternative Hypotheses:**What are the null and alternative hypotheses for the hypothesis test?**Options:**- **Option A:** - \( H_0 \): \( p_1 \leq p_2 \) - \( H_1 \): \( p_1 \neq p_2 \)- **Option B:** - \( H_0 \): \( p_1 = p_2 \) - \( H_1 \): \( p_1 < p_2 \)- **Option C:** - \( H_0 \): \( p_1 = p_2 \) - \( H_1 \): \( p_1 \neq p_2 \)- **Option D:** - \( H_0 \): \( p_1 \geq p_2 \) - \( H_1 \): \( p_1 \neq p_2 \)- **Option E:** - \( H_0 \): \( p_1 = p_2 \) - \( H_1 \): \( p_1 > p_2 \)- **Option F:** - \( H_0 \): \( p_1 \neq p_2 \) - \( H_1 \): \( p_1 = p_2 \)---#### Explanation of Symbols:- \( p_1 \): Proportion of rhinovirus infections in the group treated with echinacea.- \( p_2 \): Proportion of

Solution-:Given: We want to test the claim using a hypothesis test.(a) State the null and…

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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To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below. Treatment A B C The null hypothesis for this ANOVA problem is Select one: OA. H1 H2 OB. H1 H2 H3 OC. H1 H2 H3 H4 OD. H1 H2= =12 Observation 22 20 30 22 26 40 30 222 25 33 20 28 28 22
In a study, a large sample representative of the households in the US were asked about their smoking habits. The data suggested that current smokers were on average much healthier than those who recently stopped smoking. Investigators concluded that smoking does not necessarily lead to worse health outcomes. Consider the following statements. Select the ones you agree with, based on the information given. Group of answer choices A.In a randomized experiment, smoker and non-smoker groups are similar across all potential characteristics. b.The conclusions were justified by the data. c.This is an observational study. d.This study is a randomized controlled experiment. e.The results can be explained due to confounding. Current smokers are different from those who recently stopped in ways that are related to health outcomes.
A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 258 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 55 62 117 Not Vaccinated 70 71 141 Total 125 133 258 Copy Data Step 1 of 8: State the null and alternative hypothesis.
When we test the hypothesis that the population proportions are equal, we can use the Z test for a one-sided as well as a two-sided alternative. Select one: a. False b. True C. Not sure
Consider an experiment for patients who underwent CPR for a heart attack and then was sent to the hospital. Patients were randomly divided into a treatment group where they received a blood thinner or the control group where they did not. We're interested in understanding what proportion of patients survived in the first 24 hours in the hospital. Here's the data: Control Treatment Survived 11 14 Died 39 26 With the help of Mathematics and R Studio: Conduct a (full) hypothesis test to determine if the treatment group survived at a higher rate than the control group.
The accuracy of a census report on a city in southern California was questioned by some government officials. A random sample of 1215 people living in the city was used to check the report, and the results are shown below. Census Sample Result Ethnic Origin Percent Black 10% 123 Asian 3% 46 38% Anglo Latino/Latina 471 41% 505 Native American 6% 61 All others 2% 9. A USE SALT Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree. (a) What is the level of significance? State the null and alternate hypotheses. O H: The distributions are the same. H: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places.…
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…
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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.
Create a research hypothesis that would be answered using either a z- or a t- test. I was thinking of doing a study on college students and the amount of articles they read in one year. Include the following: Introduction: Brief description of the study including the purpose and importance of the research question being asked. What is the null hypothesis? What is the research hypothesis? Participants/Sampling Method: Describe your sampling method. What is your sample size? Who is your population of interest? How representative is the sample of the population under study? Data Analysis: Describe the statistical analysis. What is your variable? What is its level of measurement? What is your alpha level? Results & Discussion: Did you reject the null hypothesis? What information did you use to lead you to your conclusion? Was your p value greater than or less than your alpha? NOTE: You can just make up numbers, but include your made-up p value

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