MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 38 of the 43 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 98 of the 114 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.
Identify the test statistic.
z = ______
Identify the p-value
p = ______
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images
Knowledge Booster
Similar questions
- which of the following study is appropiate for the one sample t test?arrow_forwardIn a population of bats living in a certain region, 30 percent have a wingspan greater than 10 inches. In a random sample of 80 bats living outside of the region, 20 had a wingspan greater than 10 inches. Consider a one-sample z-test to investigate whether there is evidence that the proportion of bats with a wingspan greater than 10 inches living outside the region is different from that of the bats living in the region. Which of the following is the correct test statistic? 0.30-0.25 A (0.25)(0.75) 0.30 0.25 2 = (0.30)(0.70) 0.20 0.30 (0.30) (0.70) 0.25 0.30 D (0.25) (0.75) 0.25 0.30 E (0.30)(0.70) 80arrow_forwardTwenty laboratory mice were randomly divided into two groups of 10. Each group was fed according to a prescribed diet. At the end of 3 weeks, the weight gained by each animal was recorded. Do the data in the following table justify the conclusion that the mean weight gained on diet B was greater than the mean weight gained on diet A, at the ? = 0.05 level of significance? Assume normality. (Use Diet B - Diet A.) Diet A 11 8 14 6 13 9 13 6 11 13 Diet B 18 11 7 13 15 12 21 16 19 12 (a) Find t. (Give your answer correct to two decimal places.)(ii) Find the p-value. (Give your answer correct to four decimal places.)(b) State the appropriate conclusion. Reject the null hypothesis, there is significant evidence that diet B had a greater weight gain.Reject the null hypothesis, there is not significant evidence that diet B had a greater weight gain. Fail to reject the null hypothesis, there is significant evidence that diet B had a greater weight gain.Fail to reject the null…arrow_forward
- According to a CCH Unscheduled Absence survey, 9% of small businesses use telecommuting of workers in an effort to reduce unscheduled absenteeism. This proportion compares to 6% for all businesses. Is there really a significant difference between small businesses and all businesses on this issue? Use these data and an alpha of .10 to test this question. Assume that there were 725 small businesses and 875 other businesses in this survey. Appendix A Statistical Tables (Round the intermediate values to 4 decimal places. Round your answer to 2 decimal places.) Observed z = %3D The decision is toarrow_forwardRhino viruses typically cause common colds. In a test of the effectiveness ofechinacea, 32 of the 38 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. Identify the test statistic. Identify the P-value.arrow_forwardAn epidemiologist found five cases of “big toe cancer” in the Yukon Territory. Because there were only a few cases, the epidemiologist decided to conduct a matched case-control study to determine whether shoe size larger than 9 is a risk factor for big toe cancer. Cases were individually matched to one control for daily activity, history of athlete’s foot, and history of ingrown toenails. The following data were gathered: Shoe size > 9 Pair Case Control 1 Yes No 2 No No 3 No Yes 4 Yes Yes 5 No Yes Compute the proper measure of association. Interpret your results. If you were to investigate a rare cancer in Lynchburg, where might you look for data? What would be necessary legally and ethically to be able to utilize this data set(s)? Submit your thread by 11:59 p.m. (ET) on Thursday of Module/Week 3, and submit your replies by 11:59 p.m. (ET) on Sunday of the same module/week. 1arrow_forward
- Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.02 level of significance whether the two methods of analysis give, on the average, the same result. Click here to view the sample analyses. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Let sample 1 be the X-ray fluorescence results and let sample 2 be the laboratory chemical results. State the null and alternative hypotheses. Ho: HD H1: HD + Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to three decimal places as needed.) O A. t> В. t O C. t<arrow_forward4. Data were collected from a pretest and posttest of students taking a two-week course in substance abuse. Would you use a t-test (and if so, which one), or would you use ANOVA? Given the following data, complete the exercise to see if there is a significant difference between the two tests. Pretest Posttest 84 90 85 75 70 89 65 91 71 85 72 79 84 88 85 85 66 82 67 99arrow_forwardRhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 34 of the 39 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 98 of the 115 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. Identify the test statistic:Z= ___?____ Identify the P-Value: _______State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. _________Identify the confidence interval limits for the appropriate confidence interval.__?____ < P1-P2 < __?____arrow_forward
- A reviewer checks to see if a bag of candy weighs less than advertised (e.g., 100 grams). What is the appropriate test statistic for each scenario a. One sample Z-test b. One sample t-test c. two related samples t-test d. two indepdent samples t-testarrow_forwardA researcher is studying the effects of his newly created lens on vision. He samples 9 people with poor vision and measures their visual distance (in feet) with the lens and then without the lens. Did people’s vision with the lens differ from their vision without? Participant # With Lens Without Lens 1 8 14 2 6 17 3 9 12 4 7 11 5 5 12 6 9 18 7 8 13 8 9 7 9 7 13 What kind of analysis will you use? Why? State the null and alternative hypothesis. Check your assumptions. Explain why each of them are or are not met. Sketch a distribution and shade the rejection region(s), including the corresponding critical value(s). Using R, calculate your test statistic and interpret the results of your test. (Don’t forget your 95% confidence interval and screenshots of your work!) What do you conclude about the null hypothesis? Are there significant differences?arrow_forwardWhat test do I need to run?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman