A claim is made that the proportion of children who play spo

A claim is made that the proportion of children who play sports is less than 0.5, and the sample statistics include n=1158 subjects with 30% saying that they play a sport. 27.78 -27.78 -13.61 13.61

Solution

Null, H0:P=0.5
Alternate, H1: P<0.5
Test Statistic
No. Of Success chances Observed (x)=347.4
Number of objects in a sample provided(n)=1158
No. Of Success Rate ( P )= x/n = 0.3
Success Probability ( Po )=0.5
Failure Probability ( Qo) = 0.5
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.3-0.5/(Sqrt(0.25)/1158)
Zo =-13.6118

Test statistic : -13.61