Answer:
2.361
Explanation:
Calculation to Find the value of the test statistic
Based on the given information let our:
p=0.25
x = 159
n = 540
Since our p is 0.25 the first step is to find q using this formula
q = 1 - p
Let plug in the formula
q = 1-0.25
q= 0.75
Second step is to find the psample using this formula
psample= x/n
Let plug in the formula
psample= 159/540
psample = 0.294
Last step is to find the value of the test statistic
Using this formula
z= (psample - p) / √(pq/n)
Let plug in the formula
z = (0.294 - 0.25) / √(0.25×0.75/540)
z=0.044/√(0.1875/540)
z=0.044/√(0.000347222222)
z=0.044/0.01863389
z=2.361
Therefore the value of the test statistic will be 2.361