Question

Find the value of the test statistic z using z = .

A claim is made that the proportion of children who play sports is less than 0.5, and the sample statistics include n = 1671 subjects with 30% saying that they play a sport.

A. 33.38
B. –33.38
C. 16.35
D. –16.35

Answer 1

`\sf z = -16.35`

formula:

`\sf z = \frac{s-p}{\sqrt{(p(1-p))/(n) } }`

Here s = 0.3, p = 0.5, n = 1671

solve:

`\rightarrow \sf z = \frac{0.30-0.5}{\sqrt{(0.5(1-0.5))/(1671) } }`

`\rightarrow \sf z = \frac{-0.2}{\sqrt{(0.25)/(1671) } }`

`\rightarrow \sf z = -16.35`