Find the critical value for the given level of confidence 95

Find the critical value for the given level of confidence 95% and n=25. Determine the critical value for two-tailed two-tailed test regarding a population mean with sigma known at the a = 0.05 level of significance.

Solution

Q6.

Test Statistic
Senior number of withdrew are (x)=68
Number of objects in a sample provided(n)=180
No. Of Success Rate ( P )= x/n = 0.3778
Success Probability ( Po )=0.15
Failure Probability ( Qo) = 0.85
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.37778-0.15/(Sqrt(0.1275)/180)
Zo =8.5584