A certain drug is used to treat asthma. In a clinical trial of the drug. 23 of 276 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 11% 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-talled? O Left-tailed test O Two-tailed test O Right tailed test b. What is the test statistic? (Round to two decimal places as needed.) c. What is the P-value? P.value =O (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. O A. Họ: p=0.11 OB. Ho: p#0.11 OC. Họ: p<0.11 OD. Ho: p>0.11 Decide whether to reject the null hypothesis. Choose the correct answer below. O A. Fail to reject the null hypothesis because the P-value is greater than the significance level, a O B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. OC. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. O D. Reject the null hypothesis because the P-value is greater than the significance level, a
A certain drug is used to treat asthma. In a clinical trial of the drug. 23 of 276 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 11% 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-talled? O Left-tailed test O Two-tailed test O Right tailed test b. What is the test statistic? (Round to two decimal places as needed.) c. What is the P-value? P.value =O (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. O A. Họ: p=0.11 OB. Ho: p#0.11 OC. Họ: p<0.11 OD. Ho: p>0.11 Decide whether to reject the null hypothesis. Choose the correct answer below. O A. Fail to reject the null hypothesis because the P-value is greater than the significance level, a O B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. OC. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. O D. Reject the null hypothesis because the P-value is greater than the significance level, a
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![A certain drug is used to treat asthma. In a clinical trial of the drug, 23 of 276 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 11% 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?
- Left-tailed test
- Two-tailed test
- Right-tailed test
b. What is the test statistic?
\[ z = \_\_\_ \]
(Round to two decimal places as needed.)
c. What is the P-value?
\[ \text{P-value} = \_\_\_ \]
(Round to four decimal places as needed.)
d. What is the null hypothesis, and what do you conclude about it?
Identify the null hypothesis.
- A. \( H_0: p = 0.11 \)
- B. \( H_0: p \neq 0.11 \)
- C. \( H_0: p < 0.11 \)
- D. \( H_0: p \geq 0.11 \)
Decide whether to reject the null hypothesis. Choose the correct answer below.
- A. Fail to reject the null hypothesis because the P-value is greater than the significance level, \(\alpha\).
- B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, \(\alpha\).
- C. Reject the null hypothesis because the P-value is less than or equal to the significance level, \(\alpha\).
- D. Reject the null hypothesis because the P-value is greater than the significance level, \(\alpha\).
**Calculator Display Information:**
- Test: 1-PropZTest
- \( \text{prop} < 0.11 \)
- \( z = -1.159576967 \)
- \( p = 0.1234707086 \)
- \( \hat{p} = 0.0833333333 \)
- \( n = 276 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a48802d-6846-4323-a4ac-c8e25969b766%2F14c79d90-9b8e-42b2-85aa-8f8c0e7483a3%2Ftl4u1lh_processed.png&w=3840&q=75)
Transcribed Image Text:A certain drug is used to treat asthma. In a clinical trial of the drug, 23 of 276 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 11% 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?
- Left-tailed test
- Two-tailed test
- Right-tailed test
b. What is the test statistic?
\[ z = \_\_\_ \]
(Round to two decimal places as needed.)
c. What is the P-value?
\[ \text{P-value} = \_\_\_ \]
(Round to four decimal places as needed.)
d. What is the null hypothesis, and what do you conclude about it?
Identify the null hypothesis.
- A. \( H_0: p = 0.11 \)
- B. \( H_0: p \neq 0.11 \)
- C. \( H_0: p < 0.11 \)
- D. \( H_0: p \geq 0.11 \)
Decide whether to reject the null hypothesis. Choose the correct answer below.
- A. Fail to reject the null hypothesis because the P-value is greater than the significance level, \(\alpha\).
- B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, \(\alpha\).
- C. Reject the null hypothesis because the P-value is less than or equal to the significance level, \(\alpha\).
- D. Reject the null hypothesis because the P-value is greater than the significance level, \(\alpha\).
**Calculator Display Information:**
- Test: 1-PropZTest
- \( \text{prop} < 0.11 \)
- \( z = -1.159576967 \)
- \( p = 0.1234707086 \)
- \( \hat{p} = 0.0833333333 \)
- \( n = 276 \)
Transcribed Image Text:e. What is the final conclusion?
- A. There is not sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches.
- B. There is not sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches.
- C. There is sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches.
- D. There is sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches.
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