The mayor of a town has proposed a plan for the construction of a new bridge. A political study took a sample of 900 voters in the town and found that 70% 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 66%. Determine the P-value of the test statistic. Round your answer to four decimal places.
Solution :
= 0.70
Test statistic = z
=
- P0 / [
P0
* (1 - P0 ) / n]
= 0.70 - 0.66 / [(0.66
* 0.34) / 900]
= 2.533
P-value = 0.0057
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