### Educational Exercise: Statistical Analysis of Clinical Trial DataA certain drug is used to treat asthma. In a clinical trial of the drug, 25 of 260 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below.#### a. Is the test two-tailed, left-tailed, or right-tailed?- [ ] Two-tailed test- [ ] Left-tailed test- [x] Right-tailed test#### b. What is the test statistic?\[ z = \boxed{} \](Round to **two** decimal places as needed.)#### c. What is the P-value?\[ \text{P-value} = \boxed{} \](Round to **four** decimal places as needed.)#### d. What is the null hypothesis, and what do you conclude about it?Identify the null hypothesis.- [ ] A. \( H_0: p > 0.1 \)- [ ] B. \( H_0: p \neq 0.1 \)- [x] C. \( H_0: p = 0.1 \)Evaluate the null hypothesis and draw a conclusion.#### Diagram/Graph Explanation:A box on the right-hand side displays the results of a calculator used for statistical testing. The values provided are:- Type of test: 1-PropZTest- Null hypothesis: \( \text{prop} <0.1 \)- Test statistic: \( z = -0.206724558 \)- P-value: \( p = 0.4181124886 \)- Sample proportion: \( \hat{p} = 0.0961538462 \)- Sample size: \( n = 260 \)These values are essential for answering parts (b) through (d) of the exercise.### Instructions:1. Determine the type of test (two-tailed, left-tailed, or right-tailed).2. Calculate the test statistic (z-value) and round it to two decimal places.3. Calculate the P-value and round it to four decimal places.4. Identify and evaluate the null hypothesis.By thoroughly understanding and

sample size(n)=260x=25significance level()=0.05sample proportion()=

Answered: A certain drug is used to treat asthma.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table: Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. What type of hypothesis test will allow us to reach a conclusion in the situation posed above? A. Variance test B. Unilateral for difference in proportions C. Bilateral for average difference D. Unilateral for change in effectiveness
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
Chang et al. in 2005 examined the association between a family history of hematopoietic cancer on an individual’s risk of lymphoma in Sweden. In this study, the investigators validated self-report of a family history by searching for family members’ diagnosis in the Swedish Cancer Registry and examined whether the validity of self-report differed between cases and controls. Use the information contained in the tables below to answer the accompany questions: Assuming the following table displays the true distribution of exposure among cases and controls, construct a new table with misclassification of exposure if sensitivity and specificity are 60% and 98% among cases; and 38% and 99% among the controls respectively. True Distribution Cases Control Family history 56.7 37.1 No family history 1148.3 1189.9 Compute the true ORT using the information from the table above. Complete the observed or misclassified table below Observed / Misclassified…
The following is a sample of patient's calcium tests in mg/dL. 9.3 8.8 10.1 8.9 9.4 9.8 10.0 9.9 11.2 12.1 Find each of the following: The mean: The median: The third quartile: The standard deviation: The variance:
You conduct a between-subjects ANOVA investigating whether different states produce tastier cheeses. You find that eta-squared is .50. What does this tell you? a. The effect size is small. b. 50% of the total variance in tastiness is due to differences between the states. c. The difference between the group means is .50 standard deviations. d. All of the above
Use the results from a survey of a simple random sample of 1064 adults. Among the 1064 respondents, 69% rated 13 themselves as above average drivers. We want to test the claim that more than 20 of adults rate themselves as above average drivers. Complete parts (a) through (e). A. No. Assuming quality of driving can be quantified, half of all adults must have driving quality less than or equal to the mean. B. Yes. Assuming quality of driving can be quantified, a distribution that is extremely skewed to the right would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean. C. Yes. Assuming quality of driving can be quantified, a distribution that is extremely skewed to the left would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean. O D. No. It is impossible to compare the quality of different adults' driving. b. If we use the same significance level to…
A researcher predicts that smoking cigarettes decreases a person's sense of smell. On a test of olfactory sensitivity (smell), the mean for non-smokers is 18.4. A sample of 12 people who smoke a pack each day have a sample mean of 16.25 (sample variance = 4.75). Complete the following statement: We ["", ""] the null. Smokers have ["", "", ""] in olfactory sensitivity compared to non-smokers.
The means of the number of revolutions per minute of two competing engines are to be compared. Thirty engines are randomly assigned to be tested. Both populations have normal distributions. Table 10.4 shows the result. Do the data indicate that Engine 2 has higher RPM than Engine 1? Test at a 5% level of significance. Engine Sample Mean Number of RPM Population Standard Deviation 1 1,500 50 2 1,600 60

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS