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the mayor of a town has proposed a plan for the construction of a new community. a political study took a sample of 1100 voters in the town and found that 25% 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 22%. determine the decision rule for rejecting the null hypothesis, h0, at the 0.01 level.

Respuesta :

a) Null Hypothesis: H₀: P>0.22

Alternative hypothesis: H₁:P<0.22

b) Test statistic  Z = 2.5

The sample size is n = 1100.

Given the information, political research selected 1100 voters from the town and discovered that 25% of the citizens supported the building.

Given sample percentage "p" = 25% = 0.25, this follows.

A campaign strategist decided to check the assertion that more than 22% of people support building based on available data.

Assuming Population Proportion 'P' = 22% = 0.22

Q = 1 - p = 1 - 0.22=0.78

Given the available information, a political strategist wishes to test the assertion that more citizens prefer building than 22%, thus we assume the null hypothesis is true.

Null Hypothesis: H₀: P > 0.22

Alternative hypothesis: H₁: P < 0.22

The test of statistic

Z = (p - P) ÷ √(PQ ÷ n)

Z = (0.25 - 0.22) ÷ √(0.22 × 0.78 ÷ 1100)

Z = 2.5

Learn more about the null hypothesis at

https://brainly.com/question/23693764?referrer=searchResults

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