15 **Transcription of Statistical Hypothesis Testing Problem**---A certain drug is used to treat asthma. In a clinical trial of the drug, 19 of 279 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.![Calculator Display]1-PropZTestp<0.11z=-2.236067977p=0.012618769p̂=0.0681003584n=279---**a. Is the test two-tailed, left-tailed, or right-tailed?**- O Right-tailed test- O Left-tailed test- O Two-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.*- O \( H_0: p > 0.11 \)- O \( H_0: p \neq 0.11 \)- O \( H_0: p = 0.11 \)- O \( H_0: p < 0.11 \)*Decide whether to reject the null hypothesis. Choose the correct answer below.*- O Fail to reject the null hypothesis because the P-value is greater than the significance level, \( \alpha \).- O Reject the null hypothesis because the P-value is greater than the significance level, \( \alpha \).- O Reject the null hypothesis because the P-value is less than or equal to the significance level, \( \alpha \).- O Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, \( \alpha \).**e. What is the final conclusion?**- O There is not sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches.- O There is sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches.- O There is

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A certain drug is used to treat asthma. In a clinical trial of the drug, 19 of 279 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. a. Is the test two-tailed, left-tailed, or right-tailed? O Right tailed test O Left-tailed test OTwo-tailed test 1-Prop2Test prop< 0.11 2-2.236 p=0.01261 P=0.06810 n=279