the mayor of a town has proposed a plan for the construction of an adjoining community. a political study took a sample of 800 voters in the town and found that 64% 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 more than 60%. determine the decision rule for rejecting the null hypothesis, h0, at the 0.10 level.

Respuesta :

The Decision rule for rejecting the null hypothesis, Z > 1.28

What is Null Hypothesis?

The null hypothesis is a common statistical theory that asserts that no statistical link or significance exists between two sets of observed data and measured phenomena based on a single observed variable.

Given,

Sample Voters - 800

Residents Favored Construction - 64%

Percentage of residents who favour construction is more than 60%.

This is right tailed test, for α = 0.1

Critical Value Z is 1.28

Hence reject h0 if Z >1.28

Z > 1.28 is the decision rule for rejecting the null hypothesis at the 0.10 level

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