Question

Evaluate the following formula for p₁ -p₂ =0, p = 0 0.144558, q = 1 - p₁, x₁ = 69, x₂ = 16, n₁=290 n₂ = 298

p₁ = x₁/n₁ and p₂ = x₂/n₂
z= (p₁ - p₂ ) - (p₁ - p₂) /√' p*q/n₁ + p*q/n₂

Answer 1

To evaluate the given formula, substitute the given values for p₁, p₂, p, q, x₁, x₂, n₁, and n₂. Then simplify the formula to find the value of z.

Step-by-step explanation:

Given the formula:

z = (p₁ - p₂) - (p₁ - p₂) / √(p*q/n₁ + p*q/n₂)

Using the given values, we can substitute:

p₁ = x₁/n₁ = 69/290 = 0.2379

p₂ = x₂/n₂ = 16/298 = 0.0537

p = 0.144558

q = 1 - p₁ = 1 - 0.2379 = 0.7621

Substituting these values into the formula, we get:

z = (0.2379 - 0.0537) - (0.2379 - 0.0537) / √(0.2379*0.7621/290 + 0.2379*0.7621/298)

Now we can simplify further to get the value of z.