The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1700 voters in the town and found that 35% 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 more than 32% . Make the decision to reject or fail to reject the null hypothesis at the 0.05 level.
A. Reject Null Hypothesis
B. Fail to Reject Null Hypothesis
Solution :
This is the right tailed test .
The null and alternative hypothesis is
H0 : p = 0.32
Ha : p 0.32
= x / n =
Test statistic = z
= - P0 / [P0 * (1 - P0 ) / n]
= 0.35 - 0.32 / [(0.32 * 0.68) / 1700]
= 2.65
P-value = 0.004
= 0.05
P-value <
Reject the null hypothesis .
A
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