Questions: A certain drug is used to treat asthma. In a clinical trial of the drug, 29 of 283 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 0.01 significance level to complete parts (a) through (e) below. C. H0: p=0.11 D. H0: p ≠ 0.11 Decide whether to reject the null hypothesis. Choose the correct answer below. A. Reject the null hypothesis because the P-value is greater than the significance level, α. B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α. C. Fail to reject the null hypothesis because the P-value is greater than the significance level, α. D. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. e. What is the final conclusion? A. There is sufficient evidence to support 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 not sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches. D. There is sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches.

Transcript text: A certain drug is used to treat asthma. In a clinical trial of the drug, 29 of 283 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 0.01 significance level to complete parts (a) through (e) below. C. $\mathrm{H}_{0}: p=0.11$ D. $H_{0}: p \neq 0.11$ Decide whether to reject the null hypothesis. Choose the correct answer below. A. 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. Fail to reject the null hypothesis because the $P$-value is greater than the significance level, $\alpha$. D. Reject the null hypothesis because the P -value is less than or equal to the significance level, $\alpha$. e. What is the final conclusion? A. There is sufficient evidence to support 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 not sufficient evidence to warrant rejection of the claim that less than $11 \%$ of treated subjects experienced headaches. D. There is sufficient evidence to warrant rejection of the claim that less than $11 \%$ of treated subjects experienced headaches.