a. If the new drug testing were to be placed in a test of hypothesis framework, would the null hypothesis be that the drug is safe or unsafe? The alternative hypothesis?b. Given the choice of null and alternative hypotheses in part a, describe Type I and Type II errors in terms of this application. Define α and β in terms of this application.c. If the FDA wants to be very confident that the drug is safe before permitting it to be marketed, is it more important that α or β be small? Explain. **7.15 FDA Certification of New Drugs**Pharmaceutical companies spend billions of dollars per year on research and development of new drugs. The pharmaceutical company must subject each new drug to lengthy and involved testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. The FDA’s policy is that the pharmaceutical company must provide substantial evidence that a new drug is safe prior to receiving FDA approval, so that the FDA can confidently certify the safety of the drug to potential consumers.

Two types of errors in Decision making: The Greek letter alpha or α. An I mistake occurs when a…

Answered: a. If the new drug testing were to be…

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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b. Identify the test statistic for this hypothesis test. c. Identify the P-value for this hypothesis test.
a) The null hypothesis for this test would be: b) The alternative hypothesis? c) What is the value of the test statistic, Z?
For the given hypothesis test, explain the meaning of the kind of error, as requested. A statistics student has heard that about 25% of the students on his campus attend sporting events weekly. He wants to know if statistics students attend events in the same proportions as the general student body. Explain what the second type of error would be in this case (where the student fails to reject a null hypothesis that is actually false). O A. The second kind of error would be saying that statistics students attend sporting events in much higher proportions than the student body as a whole, even though they actually have the same attendence proportion. B. The second kind of error would be saying that there is no difference in the attendence of statistics students and the student body as a whole at sporting events, even though there really is. O C. The second kind of error would be saying that there is no difference in the attendence of statistics students and the student body as a whole at…
A health foods shop owner is wondering if his customers' daily vitamin supplement habits are in the same proportion as the general population of adults. The shop owner heard in a news report that 60% of all adults reported that they took a daily vitamin. The shop owner believes that his customers have a greater proportion of adults who take a daily vitamin, so he decides to conduct a hypothesis test using the following null and alternative hypotheses: Ho: p selected customers and recorded that 45 of them use daily vitamin supplements. = 0.6 and Ha: p > 0.6. The shop owner collected data from 50 randomly (a) Compute the appropriate test statistic and find the p-value of the test and based on a 5% significance level. Write a conclusion about the null hypothesis by interpreting the p-value. Be sure to clearly state the decision regarding the null hypothesis.
2. Use the following scenario to conduct a hypothesis test. Then use that to answer questions a- g. You would like to determine if the use of a new teaching intervention helps to improve attention in 5- year-old boys. To test this hypothesis, you have separated 35 5-year-old boys into two groups, one with the intervention (treatment group) and the other given normal class time (the control group). You would like to test if the treatment group had longer attention times (in minutes) than the control group. (The significance level of the test is .05) The following are the data for the two groups: Control Group (Group 1) 7 11 6 6 8. 11 14 7 8. 2 Treatment Group (Group 2) 11 12 14 16 18 14 11 8 7 10 11 Answer the following questions to run the hypothesis test. You should use the notation and methods described in the course: a. What test should you run? b. What is the null hypothesis in sentences and symbols? c. What is the alternative hypothesis in sentences and symbols? d. What is the…
When conducting a hypothesis test, what would it mean if the researcher obtains a negative test statistic? The sample is too small. It’s very unlikely the results would have occurred just by chance alone. The sample statistic is smaller than the claimed population parameter. A mistake was made in terms of calculating the test statistic. The sample statistic is larger than the claimed population parameter.
B. Identify the test statistic test C. Identify the P-value for this hypothesis test D. If P-value is reject H0 or fail to reject H0?
Identify the conclusion for this hypothesis test. O A. Fail to reject Hn. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. B. Fail to reject Ho- There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. C. Reject Hg. There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. O D. Reject Ho. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea.
Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 5791 patients treated with this drug, 160 developed the adverse reaction of nausea. Use a 0.10 significance level to test the claim that 3% of users develop nausea. Does nausea appear to be a problematic adverse reaction? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho:p=0.03 H4:p#0.03 O B. Ho: p#0.03 H4:p=0.03 OC. Ho: p=0.03 H4:p0.03 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.)
View the information below and respond accordingly. When you perform a hypothesis test, there are four possible outcomes depending on the actual truth (or falseness) of the null hypothesis H0 and the decision to reject or not. The outcomes are summarized in the following table: Table 9.2 ACTION H0 IS ACTUALLY True H0 IS ACTUALLY False Do not reject H0 Correct Outcome Type II error Reject H0 Type I Error Correct Outcome
I. M. Schurr claims that students enjoy online classes more than professors. In order to test his claim, Schurr takes a sample of 60 students and determines 80% of the students enjoy online classes. For a sample of 40 professors, Schurr finds that 55% of the professors enjoy online classes. Do the data support Schurr’s claim that students enjoy online classes more than professors? a. State the null and alternative hypothesis that would be used to test whether students enjoy online classes more than professors.b. What is the appropriate test statistic?c. Determine the critical value(s) for this test using a 1% significance level.d. Calculate the value of the test statistic.e. What is your decision and conclusion?
When is a researcher at risk of making a Type II error? a. whenever H0 is rejected b. whenever H1 is rejected c. whenever H0 fails to be rejected d. The risk of a Type II error is independent of the decision from a hypothesis test.

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