Question

the mayor of a town has proposed a plan for the construction of an adjoining community. a political study took a sample of 1600 voters in the town and found that 34% 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 31%. find the value of the test statistic. round your answer to two decimal places.

Answer 1

The value of the test statistic is 2.59.

What is Test Statistics?

A number derived from a statistical test of a hypothesis is the test statistic. It displays how closely your actual data fit the distribution predicted by the statistical test's null hypothesis.

Here, the percentage of residents favored construction is 34%.

$p\leq 0.31\\p > 0.31$

The test statistics is given by,

$Z=P-\frac{p}{\sqrt{p(1-p)n} }$

Here n=1600, P=0.34 and p=0.31,

Putting the values,

$Z=0.34-\frac{0.31}{\sqrt{0.31(1-0.31)1600} }\\=2.59$

Test Statistics = 2.59

Therefore, the value of test statistics is 2.59.

To learn more about the Test Statistics visit here:

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