The mayor of a town has proposed a plan for the annexation of a new bridge. a political study took a sample of 1000 voters in the town and found that 51% 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 47%. determine the p-value of the test statistic. round your answer to four decimal places.

There is enough evidence to support the claim that  the percentage of residents who favor annexation is more than 47%.      

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1000

p = 47% = 0.47

Alpha, α = 0.05

First, we design the null and the alternate hypothesis  

This is a one-tailed(right) test.  

Formula:

Putting the values, we get,

Now, we calculate the p-value from the table.

P-value = 0.0056

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and accept the alternate hypothesis.

Thus. the percentage of residents who favor annexation is more than 47%.

Thus, there is enough evidence to support the claim that  the percentage of residents who favor annexation is more than 47%.