A certain drug is used to treat asthma. In a clinical trial of the drug, 15 of 289 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 to complete parts (a) through (e) below. 1-PropZTest prop <0.1 z = - 2.725490196 p= 0.0032103042 p=0.0519031142 n= 289 c. What is the P-value? P-value = 0.0032 (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. Ho p#0.1 O B. Ho p<0.1 O C. Ho p>0.1 O D. Ho p=0.1 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. B. Reject the null hypothesis because the P-value is greater than the significance level, a. O C. Fail to 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 less than or equal to the significance level, a. e. What is the final conclusion? O A. There is sufficient evidence to support the claim that less than 10% of treated subjects experienced headaches. O B. There is not sufficient evidence to support the claim that less than 10% of treated subjects experienced headaches. OC. There is sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches. O D. There is not sufficient evidence to warrant rejection of the claim that less than 10% of treated subjects experienced headaches.

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.