Question

A hypothesis test for a population proportion p is given below:

Ho: p = 0.25 vs. Ha: p NE 0.25 (NE means not equal)

For sample size n=100 and sample proportion p = 0.30, compute the value of the test statistic:

1.67

-1.12

0.04

1.15

Answer 1

solution:

H₀ : p =0.25

H_a : p $\neq$ 0.25

$\hat p$ = 0.30

P₀ = 0.25

1 - P₀ = 0.75

Test statistic = z

= $\hat p$ - P₀ / [$\sqrt$P_{0 *} (1 - P₀ ) / n]

= 0.30-0.25/ [$\sqrt$(0.25*0.75) / 100]

= 1.15