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School

University of Texas, Rio Grande Valley *

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Course

3341

Subject

Statistics

Date

Nov 24, 2024

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jpg

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1

Uploaded by AmbassadorIce4751

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Solution 3 of 4 B8 Tables The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 1800 voters in the town and found that 58 % of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 55 % . Make the decision to reject or fail to reject the null hypothesis at the 0.05 level. Now that we have the test statistic, we can calculate the P-value. The P-value is the probability of observing a value of the test statistic as extreme or more extreme than the one observed in the data, assuming the null hypothesis is true. In this situtation, that means that the value we want to find is P(z 2 2.56). Using either the standard normal tables or technology, we can find this value as follows. 0.005200 o ) in (o)) Thus the P-value of the test statistic is 0.0052. Continued on the next page ...
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