A political study took a sample of 1600 voters in the town and found that 42% 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 39%. Determine the P-value of the test statistic. Round your answer to four decimal places.

P- value =  0.0069

Step-by-step explanation:

Given that :

sample size n = 1600

The sample proportion   = 0.42

The population proportion p = 0.39

The null hypothesis and the alternative hypothesis can be expressed as:

The  test statistics can be computed as follows:

Z 2.46

Determine the P-value of the test statistic.

The P- value = P(Z > )

P- value = 1 - P( Z ≤ 2.46)

Using the Excel Function ( = NORMSDIST (2.46))

P- value = 1 - 0.993053

P- value = 0.006947

P- value =  0.0069    to four decimal places

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