Question

he mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 16001600 voters in the town and found that 344% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 311%. Find the value of the test statistic. Round your answer to two decimal places.

Answer 1

Answer:

2.60

Step-by-step explanation:

Given that:

n = 1600

$\hat p = 0.34$

$P_o = 0.31$

The test statistics can be computed as:

$Z = \dfrac{\hat p - P_o}{\sqrt{ \dfrac{P_o\times (1-P_o) } {n} }}$

$Z = \dfrac{0.34-0.31}{\sqrt{ \dfrac{0.31 \times (1-0.31) } {1600} }}$

$Z = \dfrac{0.03}{\sqrt{ \dfrac{0.31 \times (0.69) } {1600} }}$

$Z = \dfrac{0.03}{\sqrt{ \dfrac{0.2139} {1600} }}$

$Z = 2.60$