1. A certain type of cold vaccine is known to be only 25% effective after a period of 2 years.To determine if a new and somewhat more expensive vaccine is superior in providingprotection against the same virus for a longer period of time, suppose that 20 people arechosen at random and inoculated. If more than 8 of those Teceiving the new vaccinesurpass the 2-year period without contracting the virus, the new vaccine will be consideredsuperior to the one presently in use. The alternative hypothesis is:

Test is that whether a new vaccine is superior in providing protection against the virus for a…

Answered: A certain type of cold vaccine is known…

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 researcher conducted the first four steps of an Independent ANOVA, and on step 4 he Rejected H0, concluding that the drug had some overall effect. However, as we learned, Rejecting H0 is not really enough to call your study a “success” on ANOVA; you still need to check several more things in Step 5 and Step 6. So, let’s say the researcher gets the following APA table on Step 5. In which of the following cases would the drug shown on this APA table be considered a “success”? Small Dose of Drug Medium Dose of Drug High Dose of Drug M 11.00 22.00 27.00 SD 1.00 1.73 1.00 More than one of the other three options could be considered a “success” with the APA table shown If the study was investigating a depression-fighting medication where the D.V. is depression If the study was investigating a memory-improving pill where the D.V. is memory score If the study was investigating a pain-reduction pill where the D.V. is pain levels
In 2022, the CDC reported that 12.5% of U.S. adults currently smoke cigarettes. From the same report, a random sample of 12,405 Ohioans was taken with 2543 being current smokers. Using α = 0.05, test whether the proportion of Ohioans that smoke cigarettes is different than the proportion of U.S. adults
There is no cure for the common cold, but many cold remedies claim to make you feel better faster. A consumer watch group decides to compare the effectiveness of Vitamin C to the effectiveness of Echinacea in lessening the duration of the common cold. Sixty participants have volunteered to be infected with the cold virus for this study. In addition to the Vitamin C and Echinacea treatments which will be administered in capsules that are identical in appearance, one of the researchers suggests that they add a group that receives no treatment but receives an identical looking capsule with an inactive ingredient. If they decide not to add a group that receives no treatment, then: (A) This study will not be an experiment since there will not be a control group. (B) Even if there is a difference in recovery time between the Vitamin C and Echinacea groups, we will not know if the recovery times are less than if no treatment were given. (C) The experimental design will not be taking into…
A sample of 900 commuters from New York were interviewed randomly and 416 answered they like express trains. Determine if the sample evidence shows that less than half of the commuters like express trains. Use α=0.05.
It has been observed that some persons who suffer renal failure, again suffer renal failure within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 55 people in the first group and this group will be administered the new drug. There are 75 people in the second group and this group will be administered a placebo. After one year, 10% of the first group has a second episode and 9% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.01, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode? Select the [Alternative…
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A researcher is investigating the effectiveness of a new treatment for improving short-term memory. A sample of n = 8 participants is obtained. Each individual completes a short-term memory test and then begins a 4-week program of the new treatment. At the end of the program, the short-term memory is tested again and the researcher records the amount of difference between the two ratings. For this sample, memory scores increased by an average of M = 3.5 points with SS = 56. Can you conclude that the new treatment significantly improves (increases) short-term memory performance? Test with α = .05, one-tailed. a. state the null and alternative hypotheses b. Locate the boundary of the critical region c. Calculate the test statistic. t = ? d. what is the correct decision? e. Compute r2 to measure the size of the treatment effect. (Round to three decimal places)
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Imagine you need to come up with a diagnostic test to monitor the viral load of patients with HIV. If the viral load is higher than a set standard, there is evidence the anti-retroviral therapy is no longer working and the patient needs to be moved to a different therapy that costs more money. Thus, false positives incur higher costs. However, if the test misses higher than normal viral loads (for patients in treatment), then the patient runs the risk of developing AIDS. Hence, false negatives result in a likely deadly disease. How would you balance these two types of error in devising your test? Minimize beta by raising the one-tailed alpha, since greater power will reduce false negatives and save patients O Minimize the one-tailed alpha, since lower P-values indicate the test is highly significant and prevent prematurely switching the patients Minimize the one-tailed alpha and beta, since this action will prevent prematurely switching the patients and reduce false negatives, thereby…
In 2004 it was reported that 31% of all graduating US college students were graduating with STEM degrees (Science Technology Engineering and Math). You want to study if this percentage has increased. To study this you divide the country into 4 major regions, East Coast, Midwest, South, and West Coast and randomly sample 70 students from each region. This means you ultimately randomly sample 280 graduating students and find that 95 of them were graduating with STEM degrees. (a) Carry out at α = .05 a hypothesis test to test the claim that the percentage of US college students that get STEM degrees has increased since 2004. Make sure to check all necessary condi- tions and state your conclusion in the context of this problem. (b) Build a 95% confidence interval to estimate the current percentage of US college students that graduate with a STEM degree. Make sure to check any necessary conditions and interpret your interval in the context of this problem. (c) What type of sampling did you…

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