Certain drug is used to treat asthma in a clinical trial of the drug 24 of 282 treated subject experienced headaches based on the data from the manufacturer the accompany calculator display results from a test of the claim that less than 11%

See below

Step-by-step explanation:

The test is one-tailed (left-tailed in this case) because you are trying to prove that the true proportion is less than the proposed proportion of 11%

The test statistic, z, is given to us as z=-1.34 when rounded to 2 decimal places.

The p-value, p, is given to us as p=0.0908 when rounded to 4 decimal places.

The null hypothesis is because the original claim was that the proportion was less than 11%.

Hope this helped! It's been a while since I've done Statistics, but I believe this is all correct.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this