The claim is that the proportion of adults who smoked a ciga

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.35, and the sample statistics include n equals =1752 subjects with 596 saying that they smoked a cigarette in the past week. Find the value of the test statistic.

Solution

Test Statistic
No. Of Success chances Observed (x)=596
Number of objects in a sample provided(n)=1752
No. Of Success Rate ( P )= x/n = 0.3402
Success Probability ( Po )=0.35
Failure Probability ( Qo) = 0.65
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.34018-0.35/(Sqrt(0.2275)/1752)
Zo =-0.8615