## Question Completion Status: ### A certain drug is used to treat asthma. In a clinical trial of the drug, 20 of 300 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. What is the final conclusion? #### 1-PropZTest - Prop < 0.1 - z = -1.924500897 - p = 0.0274159142 - p̂ = 0.0666666667 - n = 300 #### Options: A) There is sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches. B) There is sufficient evidence to support the claim that less than 10% of treated subjects experienced headaches. C) There is not sufficient evidence to support the claim that less than 10% of treated subjects experienced headaches. D) There is not sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches. #### Conclusion: ### The choice among the provided options is: #### A) There is sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches. #### Explanation: Since the p-value (0.0274) is less than the significance level (0.05), we reject the null hypothesis. Therefore, the final conclusion is that there is sufficient evidence to reject the claim that less than 10% of treated subjects experienced headaches.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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## Question Completion Status:

### A certain drug is used to treat asthma. In a clinical trial of the drug, 20 of 300 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. What is the final conclusion?

#### 1-PropZTest

- Prop < 0.1
- z = -1.924500897
- p = 0.0274159142
- p̂ = 0.0666666667
- n = 300

#### Options:
A) There is sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches.

B) There is sufficient evidence to support the claim that less than 10% of treated subjects experienced headaches.

C) There is not sufficient evidence to support the claim that less than 10% of treated subjects experienced headaches.

D) There is not sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches.

#### Conclusion:

### The choice among the provided options is:

#### A) There is sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches.

#### Explanation:

Since the p-value (0.0274) is less than the significance level (0.05), we reject the null hypothesis. Therefore, the final conclusion is that there is sufficient evidence to reject the claim that less than 10% of treated subjects experienced headaches.
Transcribed Image Text:## Question Completion Status: ### A certain drug is used to treat asthma. In a clinical trial of the drug, 20 of 300 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. What is the final conclusion? #### 1-PropZTest - Prop < 0.1 - z = -1.924500897 - p = 0.0274159142 - p̂ = 0.0666666667 - n = 300 #### Options: A) There is sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches. B) There is sufficient evidence to support the claim that less than 10% of treated subjects experienced headaches. C) There is not sufficient evidence to support the claim that less than 10% of treated subjects experienced headaches. D) There is not sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches. #### Conclusion: ### The choice among the provided options is: #### A) There is sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches. #### Explanation: Since the p-value (0.0274) is less than the significance level (0.05), we reject the null hypothesis. Therefore, the final conclusion is that there is sufficient evidence to reject the claim that less than 10% of treated subjects experienced headaches.
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