Mathematics: The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 1100 voters in the town and found that 54% 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 50%. Determine the P-value of the test statistic. Round your answer to four decimal places.

I Th is it is the 3rd one because segment we is parallel to bc so if they are parallel we know segment bf is 15...

The mayor of a town has proposed a plan for the

sfigel3160

05.02.2022

The p-value is p-value = 0.0039854

Step-by-step explanation:

From the question we are told that

The sample size is n = 1100

The population proportion is p = 0.50

The sample proportion is $\^ p = 0.54$

The null hypothesis is H_o : p = 0.50

The alternative hypothesis is H_a : p 0.50

Generally the test statistics is mathematically represented as

$z = \frac{\^ p - p }{ \sqrt{\frac{ p(1 - p)}{n} } }$

=> $z = \frac{ 0.54 - 0.54 }{ \sqrt{\frac{ 0.50 (1 - 0.50)}{1100} } }$

=> z = 2.6533

Generally from the z-table the probability of 2.6533 for a right tailed test is

p-value = 0.0039854

0,0(0 оценок)