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.
Permutations and Combinations
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, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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