To test the effectiveness of a new drug designed to relieve flu symptoms,200 patients were randomly selected and divided into two equal groups.One group of 100 patients was given a pill containing the drug while theother group of 100 was given a placebo. Suppose 62 of those actually takingthe drug felt a beneficial effect while 41 of the patients taking the placebofelt a beneficial effect. Test the claim that the proportion of patients whotook the drug was greater than that who took the placebo. Use a = 0.05.P-Value =Round to thousandths place.Decision =Write 'Reject' or 'Fail to Reject'%3D

Given data: Significance level = 0.05 Given claim: The proportion of patients who took the drug was…

Answered: To test the effectiveness of a new drug…

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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A pharmaceutical company wants to test whether their the incidence of side effects (i.e. adverse events) differs between the treatment and placebo groups at the a = 0.05. Let pı = the proportion of subjects in the treatment groups who experienced at least one adverse event and let p2 = the proportion of subjects in the placebo group who experience at least one adverse event. 8 out of 30 people in the treatment group experienced at least one adverse event and 5 out of 30 people in the placebo group experienced at least one adverse event. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in context of the problem) (b) Calculate the test statistic (c) Calculate the critical value (d) Draw a picture of the distribution of the test statistic under Ho. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at the a = 0.05 level and state your…
On a test, John scored at the 50th percentile and Jim scored at the 25th percentile; therefore, John's test score was twice Jim's test score. True False
A company that produces cranberries knows that about 7% of its cranberries are bruised in the baggin process. They changed their bagging method, and they were curious if the proportion of cranberries bruised was different. They tested They tested Ho: p = 0.07 versus Ha: p>0.07 where p is the proportion of cranberries bruised. From a random sample of 600 cranberries they found that 60 were bruised. Those results yielded a test statistic of approximately z = 2.88 and a p-value of 0.004. Assume that the conditions for inference were met. Is there sufficient evidence at the a = 0.01 level to conclude that the proportion of cranberries bruised is different than 7% a Yes, because 10% > 7% Yes, because 0.004 7% ООООО
Debra is a stats keeper for the local youth soccer league. At the end of the season, she calculated the average number of passes completed in a game for a random group of 35 players to be 16.5 passes, their pass accuracy to be 55%, and that 17 of the players were left-footed. In contrast, the average number of passes completed in a game for all the players in the league was 24.8 passes, with a pass accuracy of 67%, while 115 players were left-footed. (a) For Debra's group, identify the population and the sample. Population: (Choose one) Sample: (Choose one) (b) Choose whether each number described below is a parameter or a statistic for Debra's group. × Number The 115 left-footed players among all the players in the youth soccer league The 67% pass accuracy among all the players in the youth soccer league The average of 16.5 passes completed in a game by the random group of 35 players Parameter Statistic
Some commercial airplanes recirculate approximately 50% of the cabin air in order to increase fuel efficiency. The researchers studied 1102 airline passengers, among which some traveled on airplanes that recirculated air and others traveled on planes that did not recirculate air. Of the 519 passengers who flew on planes that did not recirculate air, 104 reported post-flight respiratory symptoms, while 113 of the 583 passengers on planes that did recirculate air reported such symptoms. Is there sufficient evidence to conclude that the proportion of passengers with post-flight respiratory symptoms differs for planes that do and do not recirculate air? Test the appropriate hypotheses using ? = 0.05. You may assume that it is reasonable to regard these two samples as being independently selected and as representative of the two populations of interest. (Use a statistical computer package to calculate the P-value. Use pdo not recirculate − pdo recirculate. Round your test statistic to two…
A researcher is studying two types of medication that both treat hives. 15 out of the random sample of 219 adults given medication A still had hives 30 minutes after taking the medication. 26 out of another random sample of 295 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance. The correct hypotheses are: O Ho:PA Рв(claim) Ο Η: pA Σ ΡΒ На: РА < Рв(claim) O Ho:PA = PB HA:PA + PB(Cclaim) Since the level of significance is 0.01 the critical value is 2.576 and -2.576 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion of people who still had hives after medicine A is different than the…
A dietician read in a survey that 69.22% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that a larger proportion skip breakfast 3 days a week. To verify her claim, she selects a random sample of 71 adults and asks them how many days a week they skip breakfast. 46 of them report that they skip breakfast at least 3 days a week. Test her claim at a = 0.10. The correct hypotheses would be: Ho:p ≤ 0.6922 HA:P 0.6922 (claim) O Ho: p > 0.6922 HA:P < 0.6922 (claim) O Ho: p = 0.6922 HA P0.6922 (claim) Since the level of significance is 0.10 the critical value is 1.282 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)
Some commercial airplanes recirculate approximately 50% of the cabin air in order to increase fuel efficiency. The researchers studied 1098 airline passengers, among which some traveled on airplanes that recirculated air and others traveled on planes that did not recirculate air. Of the 515 passengers who flew on planes that did not recirculate air, 108 reported post-flight respiratory symptoms, while 111 of the 583 passengers on planes that did recirculate air reported such symptoms. Is there sufficient evidence to conclude that the proportion of passengers with post-flight respiratory symptoms differs for planes that do and do not recirculate air? Test the appropriate hypotheses using ? = 0.05. You may assume that it is reasonable to regard these two samples as being independently selected and as representative of the two populations of interest. (Use a statistical computer package to calculate the P-value. Use pdo not recirculate − pdo recirculate. Round your test statistic to two…
Martina is a stats keeper for the local youth soccer league. At the end of the season, she calculated the average number of passes completed in a game for a random group of 30 players to be 15.7 passes, their pass accuracy to be 58%, and that 12 of the players were left-footed. In contrast, the average number of passes completed in a game for all the players in the league was 23.5 passes, with a pass accuracy of 65%, while 125 players were left-footed. (a) For Martina's group, identify the population and the sample. Population: (Choose one) Sample: (Choose one) (b) Choose whether each number described below is a parameter or a statistic for Martina's group. Number Parameter Statistic The average of 23.5 passes completed in a game among all the players in the youth soccer league The 12 left-footed players among the random group of 30 players The 58% pass accuracy of the random group of 30 players
A new cream was developed to reduce the irritation caused by poison ivy. To test the effectiveness, researchers placed an ad online asking for volunteers to participate in the study. One hundred subjects replied and were informed that one group would receive the new cream and the other group would Which of the following accurately describes the benefit of comparison in the experiment? O The overall level of irritation can be compared to see if the new cream had a significant effect. O The level of irritation for both groups can be receive a cream with no active ingredient. All 100 subjects were exposed to poison ivy. Fifty were then randomly assigned to the group with the new cream, and 50 were randomly assigned to the group with the cream with no active ingredient. After three days, the subjects' level of irritation was measured. compared to see if the new cream had a significant effect. O The level of irritation in the treatment group only can be compared to see if the new cream had…
Some boxes of a certain brand of breakfast cereal include a voucher for a free video rental inside the box. The company that makes the cereal claims that a voucher can be found in 20 percent of the boxes. However, based on their experiences eating this cereal at home, a group of students believes that the proportion of boxes with vouchers is less than 0.2. This group of students purchased 65 boxes of the cereal to investigate the company’s claim. The students found a total of 11 vouchers for free video rentals in the 65 boxes. Suppose it is reasonable to assume that the 65 boxes purchased by the students are a random sample of all boxes of this cereal. Based on this sample, is there support for the students’ belief that the proportion of boxes with vouchers is less than 0.2 ? Provide statistical evidence to support your answer.
In elderly Americans, a new blood test is being developed to diagnose a particular disease. Suppose the sensitivity of this test is 80% and specificity is 70%. If it is known that 25% of them have the particular disease, then calculate the negative predictive value.

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