### 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

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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
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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…
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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
what is z score and p value?
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…
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