A certain drug is used to treat asthma. In a clinical trial of the drug, 16 of 2
ID: 3160443 • Letter: A
Question
A certain drug is used to treat asthma. In a clinical trial of the drug, 16 of 267treted subjects experienced headaches. 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. A) is this test two-tailed, left tailed, or right tailed? B) what is the test statistic? C) what is the P-value?A certain drug is used to treat asthma. In a clinical trial of the drug, 16 of 267treted subjects experienced headaches. 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. A) is this test two-tailed, left tailed, or right tailed? B) what is the test statistic? C) what is the P-value?
B) what is the test statistic? C) what is the P-value?
Explanation / Answer
Set Up Hypothesis
Null,similar to 11% H0:P = 0.11
Alternate, less than 11% of treated subjects experienced headaches H1: P<0.11
Test Statistic
No. Of Success chances Observed (x)=16
Number of objects in a sample provided(n)=267
No. Of Success Rate ( P )= x/n = 0.0599
Success Probability ( Po )=0.11
Failure Probability ( Qo) = 0.89
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.05993-0.11/(Sqrt(0.0979)/267)
Zo =-2.6151
| Zo | =2.6151
Critical Value
The Value of |Z | at LOS 0.01% is 2.33
We got |Zo| =2.615 & | Z | =2.33
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
P-Value: Left Tail -Ha : ( P < -2.61508 ) = 0.00446
Hence Value of P0.01 > 0.00446,Here we Reject Ho
A. Left tailed
B. Zo =-2.6151
C. P - Value : 0.00446
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