55 **Title: Statistical Analysis of Asthma Drug Clinical Trial****Introduction:**In a clinical trial of a drug used to treat asthma, 30 out of 296 treated subjects experienced headaches. The drug manufacturer claims that less than 12% of treated subjects experience headaches. Using the normal distribution as an approximation to the binomial distribution, and assuming a 0.01 significance level, we will explore the hypothesis testing process.**Questions and Explanation:****a. Tail Type Test:**- Determine if the test is two-tailed, left-tailed, or right-tailed. - Options: - Left-tailed test - Two-tailed test - Right-tailed test**b. Test Statistic:**- Calculate the z-score. - "Round to two decimal places as needed."**c. P-value:**- Determine the P-value. - "Round to four decimal places as needed."**d. Null Hypothesis:**- Identify and evaluate the null hypothesis: \( H_0: p = 0.12 \), \( p > 0.12 \), \( p \neq 0.12 \), \( p < 0.12 \).- Decide whether to reject the null hypothesis: - Options include: - Reject due to P-value greater than significance level. - Reject due to P-value less than/equal to significance level. - Fail to reject due to P-value greater than significance level. - Fail to reject due to P-value less than/equal to significance level.**e. Final Conclusion:**- Based on the analysis, conclude if the manufacturer's claim holds true.**Graph/Diagram:**- The diagram included displays a 1-PropZTest result. - Key values: - \( \text{prop} < 0.12 \) - \( z = -0.987327567 \) - \( p = 0.1617140403 \) - \( \hat{p} = 0.1013513514 \) - \( n = 296 \)**Summary:**This exercise involves understanding hypothesis testing in a real-world context, focusing on determining if evidence supports the manufacturer’s claim about the drug’s side effects.

Given data number of success , x= 30.0 sample size, n = 296 population…

A certain drug is used to treat asthma. In a clinical trial of the drug, 30 of 296 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 12% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to complete parts (a) through (e) below. 1-PropZTest prop <0.12 z--0.987327567 p= 0.1617410403 p=0.1013513514 n= 296 a. Is the test two-tailed, left-tailed, or right-tailed? O Left-tailed test Two-tailed test