Question

Find the value of the test statistic z using z=^p−p√pq/n.

The claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n = 800 deaths of the elderly with 15% of them attributable to residential falls.
a. -4.71
b. -3.96
c. 4.71
d. 3.96

Answer 1

Option C - 4.71

Explanation:

We are given the Test statistic for proportion as;

z = (^p − p)/√pq/n

From the question;

^p = 0.15

p = 0.1

q = 1 - 0.1 = 0.9

n = 800

z = (0.15 - 0.1)/√(0.1 × 0.9/800)

z = 0.05/√(0.09/800)

z = 4.71