What is the answer
z = p - p0 / sqrt [p0(1-p0)/n] = 0.889 - 0.86/ sqrt[0.86(1-0.86)/5418] =
To find the value of z using the given formula, we need to substitute the given values into the equation. The equation is:
z = (p - p0) / sqrt[(p0 * (1 - p0)) / n]
Let's substitute the given values into the equation:
z = (0.889 - 0.86) / sqrt[(0.86 * (1 - 0.86)) / 5418]
Now, we will calculate the numerator and denominator separately:
Numerator: (0.889 - 0.86) = 0.029
Denominator: sqrt[(0.86 * (1 - 0.86)) / 5418] ≈ sqrt(0.86 * (0.14) / 5418) ≈ sqrt(0.12 / 5418) ≈ sqrt(0.0000221454) ≈ 0.0047 (rounded to four decimal places)
Now, we can substitute the calculated values back into the equation:
z ≈ 0.029 / 0.0047
Performing the division:
z ≈ 6.1702 (rounded to four decimal places)
Therefore, the value of z is approximately 6.1702.