the mayor of a town has proposed a plan for the annexation of a new community. a political study took a sample of 800 voters in the town and found that 63% 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 60%. testing at the 0.02 level, is there enough evidence to support the strategist's claim? step 4 of 7 : determine the p-value of the test statistic. round your answer to four decimal places.

In statistics, when the alternative hypothesis is of the "greater than or greater than or equal to" type, the p-value can be calculated by calculating the probability of the z statistic being greater than the test statistic value.

Given,

Here we have the mayor of a town has proposed a plan for the annexation of a new community. and the political study took a sample of 800 voters in the town and found that 63% 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 60%. testing at the 0.02 level.

Here we need to find the p-value of the test statistic.

While we looking into the given question we have identified the following hypothesis,

=> H0 : p <=0.6

=> H1: p > 0.6

And the value of alpha=0.02 p{reject H0 | H0 true} test statistic is a z from a 1 way 1 proportion test

So, the z value is z> 7.1286

Then the z value is calculated as,

=> 0.03/sqrt(0.6*0.63/800)

=> z = 1.3801

Therefore, the reject H0, the true proportion is greater than 60% and the p-value is 0.0837

To know more about hypothesis testing here.

https://brainly.com/question/17099835

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