A 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? OTwo-tailed test O Left-tailed test O Right tailed test b. What is the test statistic? Z= (Round to two decimal places as needed.) c. What is the P-value? P-value= (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. OA. Ho: p>0.1 OB. Ho: P 0.1 OC. Ho: p=0.1 CO 1-Prop2Test prop <0.1 2=-0.206724558 p=0.4181124886 p=0.0961538462 n=260
A 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? OTwo-tailed test O Left-tailed test O Right tailed test b. What is the test statistic? Z= (Round to two decimal places as needed.) c. What is the P-value? P-value= (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. OA. Ho: p>0.1 OB. Ho: P 0.1 OC. Ho: p=0.1 CO 1-Prop2Test prop <0.1 2=-0.206724558 p=0.4181124886 p=0.0961538462 n=260
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![### Educational Exercise: Statistical Analysis of Clinical Trial Data
A 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e2c67c3-55ad-4a91-97db-08b4cce36966%2Fabd1cfcd-ab29-4304-87ea-13bab5fc4668%2F3y5kvek_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Exercise: Statistical Analysis of Clinical Trial Data
A 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
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